# Compound inequalities guided notes pdf

It is written as x < -1 or x > 2. Would 1 be a solution to the inequality 2𝑥+3≥5? Explain. 4) Check your answer. In parts (a)– (d), use two inequalities to describe the interval. 1. 5 k uMzapdGel Yw5i yt ih i 2IEnVf 6i Tnwi MtEeg uA Lljg Eerb cr3a S d1K. In this unit inequalities are solved by using algebra and by using graphs. 2. −1; 2 2. : If X. 2 12x d 2. KEY Guided Notes Unit 7 and/or inequalities. Unit 1 Guided Notes Functions, Equations, and Graphs ⃣Represent constraints by equations or inequalities, and by systems of inequalities/equations Answers to Inequalities Word Problem Worksheet 1) No more than 12 weeks2) No more than 12. I do not know what Management Science is. 2: Compound Inequalities A compound inequality consists of two inequalities joined by the words AND or OR. 9. The ninth graders are hosting the next school dance. The solutions are shaded and an arrow shows that the solutions continue past those The inequalities you have seen so far are simple inequalities. 10 Solve multistep problems involving linear equations and/or inequalities (including those with absolute value) in one variable and provide justification for each step; Guided Notes & Practice Problems 1. 1 Solve and Graph Inequalities. Solving Equations Practice: Solving Inequalities (Multi-Step) Solve the following inequalities and graph the solution on the number line. The mathematics of solving linear inequalities is so similar to that of linear equations that most students will have little trouble with the calculations. 2 4 2 t xx 4. Step 2. 2nd Quarterly Exam Study Guides. 6 or 3 1 13 cc c c. Lecture Notes 2 1 Probability Inequalities Inequalities are useful for bounding quantities that might otherwise be hard to compute. inequality, replace the variable in the inequality with a value in the solution set. 4. 1 Create equations and inequalities in one variable and use them to solve problems. 4 Example 6: Write an inequality for the word problem and then solve the inequality. unit 4: inequalities In this unit, students solve and graph linear inequalities in one variable including conjunctions, disjunctions, and absolute value inequalities. *When solving a system of linear equations graphically: Graph BOTH lines on the SAMEAXES. 2) Combine the like terms. 1. Solve compound inequalities involving “and” and “or” conjunctions. CED. I assume that you either know what it is or do not care. Absolute Value Alg1_Graphing Standard Form Guided Notes. A. Let a, b, and c be real numbers. 7 6 20 or 3 8 61 tkk 7. Insert first sheet through second sheet and align folds. The human ear can distinguish sounds between 20 Hz and 20,000 Hz, inclusive. Write an inequality that can be used to find the minimum number of weeks you must save in order to buy the shoes. Let a = your age. Set builder notation may be used to represent solution sets of inequalities. Algebra 2 -7 - Expressions, Equations, and Inequalities EXAMPLE 3: RECOGNIZING PATTERNS GIVEN A GRAPH Identify a pattern by making a table of the inputs and outputs. Unit 5 Part 2 Study Guides. H Worksheet by Kuta Software LLC no solution. Reading and Writing As you read and study the chapter, fill the journal with notes, diagrams, and examples of linear inequalities. Students should make the connection quickly if this is the second method discussed. Algebra Notebook Page 17 - Lesson 5. _____ _____ Fill in the blanks to solve each compound inequality. d. More speci cally, it’s called an equality constraint. 11. Record your score out of 6 (potential for extra credit). 2 Unit 1Unit 1 First-Degree Equations and InequalitiesFirst-Degree Equations and Inequalities Chapter 1 A cool free math study guide with solved problems with steps and videos. pdf. The product of a number and its square is less than 8. A F_________________ is a relation in which each element in the domain corresponds to exactly one element in the range. 2 - Identify or graph the solution set to a linear inequality on a number line. notebook April 11, 2014. notebook 1 January 25, 2017 Aug 249:20 AM Algebra 1 Notes P8 25 Solving Compound Inequalities Warm Up Write an inequality that is represented by the graph. You already have $24 saved. 80c) Solving inequalities is much like solving equations. You can use a graph on £ä n È { ÓäÓ{È £än a number line to show all the solutions. 2-11-14: Talk or Text 3. When two simple inequalities are combined into one statement by the words AND or OR, the result is called a compound inequality. In this Algebra 1 lesson, you'll learn how to solve a compound inequality and with interactive components and guided practice, and additional problems to . ex: a + 0. org Guided Notes & Practice of solving compound inequalities. We can represent the solutions to these equations and inequalities by graphing them on a number line. Several inequalities can be combined together to form what are called compound inequalities. You plan to save $10 a week for the shoes by mowing lawns. Examples of Expressing Solutions Sets to Linear Inequalities Inequality Interval Notation Set-Builder Notation Graph A system of linear equations/inequalities is a set of two or more linear equations/inequalities. 3) Solve the simplified equation by undoing in reverse. Duration: 0 hrs 30 mins Scoring: 20 points. Solving Inequalities Guided Notes Notes: Anti reflexive Property Solve the compound inequality 2x + 3 < 7 or 5x + 5 > 25 Compound Inequalities A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and. 3. 2. She wants it to be 5 times as long as it is wide. Write a compound inequality for each problem. Then write and solve a compound inequality. pdf 13: Inequality notes GO inequalities back. Solve multiple step linear inequalities and inequalities using distribution. Coordinate Algebra Compound Inequalities Notes Date: _____ COMPLETED A compound inequality is an inequality that is formed by the union, “ or ,” or the intersection, “and ,” of two simple inequalities. Now, we know that Absolute Value is the distance from zero, and an Inequality is a comparison between two or more things, and all we’re going to do is take our solving techniques from both of those lessons and put them together! Lesson 12: Systems of Inequalities Word Problems 1. An open circle ○ is used when a number is not a solution. Tuesday, 2/4/14 - Finish notes for 2-variable inequalities/ Graphing Solutions for 2-variable inequalities graphing_2-variable_inequalities_classwork_day1. The inequality is a ≥ 16. Checking Solutions to Inequalities To check the solution to an . Algebra If a < b, then a + c < b + c. A 3 UAil gl 5 srhi tg WhJt rs I Mr6e hs mexrcv 0ewdU. An inequality like 3 + x < 9 has too many solutions to list. Sometimes, it is impossible to show all the values that make an inequality true. Write an inequality that represents the temperatures where sharks will NOT thrive. docx File Size: Set up a compound inequality to model each situation. Graphing Inequalities video; Notes Section 3-1 Inequalities and Graphs Part 1 (Below level learners can be provided with notes from the teacher by printing this PowerPoint). 6 - WritingGo over how to graph inequalities on a number line, then go to more advanced solving inequalities - use rules of solving and then talk about how to flip inequalities if necessary Inquiry Collaboration Reading Student Active Participation (SAP) 25 - 27 minutes Cornell notes Guided practice Me We Two You Unit 2: Expressions and Equations. Suppose you start with at least $52 in your savings account and deposit $27 each week. A number x is greater than −8 and less than or equal to 4. Solving Compound Inequalities - Section 4. 05a means "increase by 5%" is the same as "multiply by 1. 1 & 7. 4 8/25 - Solve Inequalities Watch Video: Solving Inequalities in One Variable (found under Math Videos button on our class homepage) and complete guided notes 8/26 - Write and Solve Inequalities (Choose 10 from worksheet: Multi-Step Inequalities) Week 5 8/29 - Solving Inequalities in One and Two Variables Solutions to inequalities can be graphed on a number line using open and closed dots. inequalities have to be true for the compound to be true. Write a compound inequality for each solution set shown below. 3. Watch the video (Level 2: Solving & Graphing Linear Inequalities) Complete the Notes & Basic Practice Check the Key and Correct Mistakes 2. Z Q BM9aPdle 2 bwnivtQhR fIHnbfpiEn4i7t0ec zAQlCgke1bGrPac 81Q. A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities. inequality, the resulting inequality is also true. The objects in the set are called the elements of the set. It is true if one or more of the inequalities is true. This is the section where the inequality is true. The Mathematics of Linear Inequalities. Write a compound inequality that represents each situation. 3 10 13 or 2 5 12nnn 6. Graph an Inequality inequalities to represent real-world situations. x 2 2 Step 2: Solve a compound inequality. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. ONE STEP LINEAR EQUATIONS. Exit Slip Day 7 Daily Objective: I can solve an absolute value inequality. Real-world problems can be modeled and solved using linear inequalities. 7) At least 15 times 8) No solution. Each worksheet has 13 problems determining the inequality from the numberline. 1 mi/h passes a resting hare. Solving inequalities is much like solving equations. mathematicsvisionproject. •Assignment 2-8 1. 5 . About 20% of the time you sleep is spent in rapid eye movement (REM) sleep, which is associated with dreaming. 3 - Interpret solutions to problems in the context of the problem situation. 4 3 11 d x 3. org Chapter 1. com Math 95 Lecture Notes Section 11. Most of you picked the major. pdf; Videos: Intro to Alg. 7 Solving Absolute Value Equations and Inequalities 51. If we did not need to use all the fencing, then we could write the constraint as 2x+2y100, which is called an inequality constraint. 19. pdf; ready set go sas 1. 10. 1 Business Checking Account Act. You want to buy a pair of shoes for $80. A disjunction is a compound statement that uses the word or. Create New Sheet Flash Cards Share Select a Worksheet Version 1 Version 2 Version 3 Version 4 Version 5 Version 6 Version 7 Version 8 Version 9 Version 10 Grab 'em All Create New Sheet From a general summary to chapter summaries to explanations of famous quotes, the SparkNotes Inequalities Study Guide has everything you need to ace quizzes, tests, and essays. 339) • intersection (p. Unit 3: Ratios and Proportional Relationships Guided Multi-Step Equation Word Problems. If the value selected is a correct solution, the simplified inequality will produce a true statement. They first Students will practice solving compound inequalities, including disjunctions ("or") Have your students use these RATIOS and PROPORTIONS Guided Notes to review Free printable PDF math templates for algebra, algebra 2 and even Writing, Solving and Graphing Compound Inequalities Student Notes & Practice to Student Notes work well as guided instruction with the teacher providing examples of what a compound inequality looks like PDF (Acrobat) Document File. p i oA 3l ulO rli ag6h Ytus Q jr 7e Ss mebrJv VeEda. She has $900 in her savings account. pdf 15 Solving and graphing inequalities in one variable Inequalities One Variable. A dog kennel owner has 100 ft. 9 13 and 3 4mm ! 6. Graph your solution. • If a > b , then a + c > b + c • If a < b, then a + c < b + c PROPERTY If the same number is subtracted fromeach side of a Let a, b, and c be real numbers. ) Alg I Unit 3 PTest Inequalities and Absolute Value Page 4 of 5 6/4/2015 18. For the dimensions of the dog run. The graph of a compound inequality with an "or" represents the union of the graphs of the inequalities. They would like to make at least a $500 profit from selling tickets. 7x + 6 ≤ 7(x – 4) Practice: Solving Compound Inequalities (and/or) Solve the following compound inequalities and graph the solution on the number line. Algebra problems solved on YouTube at the bottom of each page. Unions When an inequality is combined by the word “or” the compound inequality is formed. Chen's Algebra 1 Class . 2 Unit 1Unit 1 First-Degree Equations and InequalitiesFirst-Degree Equations and Inequalities Chapter 1 Unit 2 – Linear Expressions, Equations, and Inequalities This unit is all about linear topics, which is a major focus of Common Core Algebra I. x 5 x 5 OR –2 3 1 4 –1 2 −5 5 0 5 Sentence Frame for Solution Set notes__homework-_solving_equations_with_variables_on_both_sides. Algebra, Functions, and Data Analysis Curriculum Guide Grade/Subject: Algebra, Functions and Data Analysis Six Weeks: 1ST. For a man to Inequalities Look for ‘clue’ words: 1. Properties of inequality and order can be used to solve inequalities. If you don't, the inequalities and number lines will be very faint. I’ll say more about that later. docx (89k) Quiz # 3 Guided Notes ©a 2b0 g1s2 s wKUu VtUaV zSmocf jtwga VrIe 3 GLMLGC3. ____ 16. Fall 2019 Calendar . Use Use when the interval continues forever in a positive direction. 2-4-14: Solving Systems of Equations Geometer's Sketchpad 2. page 2 The numberline graphs of the inequalities page 3 The inequalities page 4 The solution to each inequality 3 Divide the students into groups of 2. Linear Inequality Vocabulary A linear inequality is an open sentence that contains a variable(s) with an 5. 5 weeks. When Title: Inequalities With One Variable – Guided Notes – Section 4. ” Sample Problem 3 : Determine the smallest and the largest angles. Inequalities are useful for bounding quantities that might otherwise be hard to compute. Begin with two sheets of notebook paper. Alg I Unit 3 PTest Inequalities and Absolute Value Page 4 of 5 6/4/2015 18. This notation can be used for all inequalities. Period____. Solution Sets of Two or More Equations (or Inequalities) Joined by “And” or “Or”. Thursday – Lesson 5-4 Solving Compound Inequalities. When two inequalities are joined by the word and, the solution set consists of all real numbers that satisfy both inequalities. 1-2. The ninth graders estimate that at most 300 students will attend the dance. 339) • union (p. However, this temperature cannot exceed 82°<. Example 1 Write each sentence as an inequality. 5. Times New Roman Arial Times Microsoft Office 98 MathType 5. Lesson 6. Unit 6 Study Guide. Leave any comments or questions below. A number y is at most 0 or at least 2. Circle all of the ordered pairs (x, y) that are solutions to the inequality x + y > 10. 2 Solving Inequalities with Multiplication and Division - Multi-step inequalities 2 - Multi-step inequalities 3 - Interpreting inequalities 1 - Writing and using inequalities 2 - Writing and using inequalities 3 - Compound inequalities 1 - Compound inequalities 2 Online Practice - Multi-step inequalities - Interpreting and solving linear inequalities Print Notes Section 1. • solve compound inequalities containing the word or 2 I am able to • solve compound inequalities containing the word and with help • solve compound inequalities containing the word or with help 1 I am able to • understand the definition of a compound inequality WARM UP Determine if the inequality is always, sometimes, or never true. 9 Guided Notes, page 8. 4 5 9r o 457 mm 7. Apply properties of equality to solve equations and justify the solution process. Example #1 Graph x < 2 or x ≥4 a. Get the constants on the other side. Cut along fold from edges to margin. It turns out that any linear programming problem can be written in the standard form above. Write an absolute value inequality that represents the graph on the number line below. 319) • compound inequality(p. 7 Objective 2 Solving Three-Part Inequalities in One Variable Work through Example 4 taking notes here. Beginning and Intermediate Algebra by Tyler Wallace is licensed under a Creative Commons Inequalities 3. Step 1: Isolate the absolute-value expression. Groups – You Pick 3. Sam has 15 coupons. Step 3: After Class • Fill in the holes you left during class. A solution to an inequality is the value or set of values that can be substituted to make the inequality true. Solve the compound inequality 2x + 3 < 7 or 5x + 5 > 25 . If an adult sleeps 7 to 8 hours, how much time is spent in REM sleep? 18. Inequalities in Triangles. Rewrite expressions in different forms. First-Degree Equations and Inequalities First-Degree Equations and You can model and Inequalities analyze real-world situations by using algebra. 12. triangle inequality theorem “The sum of the lengths of any two sides of a triangle is greater than the length of the third side. a ≥ 16 The inequality is a ≥ 16. Example # 2 1. Some, but not all, of these will be used in class this year with our current textbook. They identify the necessary information, represent problems mathematically, making correct use of symbols, words, diagrams, tables and graphs. x < 4 and x > −4 6. l Worksheet by Kuta Software LLC ©2 D2r0 l1J3 0 6KjuIt ha 2 TS1ojf Utxw OaFrVez 4L aL YC1. A125CompoundIneq. Complete slides 1-5; Graphing Inequalities Graphic Organizer (may be completed with a partner) Cut at the vertical dashed line. Unit 10 - Inequalities 6-4 (Day 2) Another type of compound inequality has the word “or”. Guided Practice Review Use T to label points that make the inequality true. Math 95 Lecture Notes Section 11. All real numbers that are greater than -8 and less than or equal to -3. • Highlight or circle Compound Inequalities (using the word "and"). 5 notes in PDF form Answers to Inequalities Word Problem Worksheet. Chris’s doctor recommended that he limit his fat intake to no more than 60 grams a Linear equations hw. Circle the numbers below that are solutions of |𝑥 Q3. ” “And” indicates that both statements of the compound sentence are true at the same time. This is read, the set of all numbers x such that x is greater than 9. Subtraction Property of Inequality Words If you subtract the same number from each side of an inequality, the inequality remains true. —1, Ml Lesson 22 ALGEBRA 1 a. Name___________________________________. Write an inequality to describe how much money m you have after w weeks. pdf 16 Frayer model #1 Frayer 1 Front. 17. It provides the students with more practice to distinguish between "and", and "or". SET – BUILDER NOTATION. 6 – Multi-Step Inequalities with Distributive Property 2 | P a g e Student Notes Steps for solving any Equation or Inequality 1) Distribute if you can. Table 1. Graph x ≥ 3 or x < 2 2. 2 A Bounded Set: The set S(in blue) is bounded because it can be entirely notes: “one step inequalities” guided practice hw fsa retake proctoring fsa retake proctoring bellwork go over hw notes: “compound inequalities” guided practice hw bellwork go over hw classwork: “unit 1 review” classwork / homework “graphing inequalities” worksheet fsa retake proctoring fsa retake proctoring “compound Linear Programming Notes I: Introduction and Problem Formulation 1 Introduction to Operations Research Economics 172 is a two quarter sequence in Operations Research. Reading and Writing As you read and study the chapter, fill the journal with notes, Method 2: Absolute Value as Compound Inequality 11. Fold in half along the width. If you choose to print this worksheet, be sure to print with the highest quality setting. They will also be used in the theory of convergence. When I was looking for inspiration on inequalities, I found Sarah's post from the fall about "flipping the sign. This list of inequality keywords and directions will help Translating words into inequalities-Inequality Word Problems https://www. complex_numbers_notes. To express the solution ᑦ>9,we can write ᑦᑦ>9. Each country sent a summary from their budget committee. rotation center of rotation angle of rotation direction of rotation rotations about the origin Theorem 9. Solving Compound Inequalities Graph each inequality, and then graph the compound inequality. A closed circle ● is used when a number is a solution. After the Guided Practice, I assign students to work on the Independent Practice. b. Four times a number is 20 more than the number. of fencing to enclose a rectangular dog run. Classwork # 3 Inequalities and Compound Inequalities Solve the following inequalities and provide a Graph for each one: 1. Graph each inequality. Inequalities are limited to linear inequalities. Reteach 1. . Created Date: 9/14/2017 1:05:24 PM and inequalities. daemen. z < 0 x 4 z > 2 intersection: x > 3 AND x 4 union: z < 0 OR z > 2 Write the compound inequality shown by each graph. Compound Inequalities. Solving Multi-Step Inequalities - Section 4. This is the section(s) where the inequality is true. KEY Unit 7 Guided Notes. This unit introduces inequalities. In this unit, you will solve and graph linear equations and inequalities and use matrices. Inequality Word Problems 1. This union is worked Inequalities Guided Notes: Inequalities Explore Narrative This lesson is taking a skill that students are proficient with (hopefully) and pushing it a step further. 6. Summarizer: • solve compound inequalities containing the word or 2 I am able to • solve compound inequalities containing the word and with help • solve compound inequalities containing the word or with help 1 I am able to • understand the definition of a compound inequality WARM UP Determine if the inequality is always, sometimes, or never true. Search this site. Solving Linear Inequalities Assignment (key) Solving Compound Inequalities Guided Notes (blank) Solving Compound Inequalities Guided Notes (completed) Solving Compound Inequalities Assignment Solving Compound Inequalities Assignment (key) Solving Absolute Value Inequalities Guided Notes (blank) Solving Absolute Value Inequalities Guided Notes - Multi-step inequalities 2 - Multi-step inequalities 3 - Interpreting inequalities 1 - Writing and using inequalities 2 - Writing and using inequalities 3 - Compound inequalities 1 - Compound inequalities 2 Online Practice - Multi-step inequalities - Interpreting and solving linear inequalities Print Notes Section 1. Please copy down the notes below and answer each of the questions. Volunteers – 1 + 5. Lecture Notes 2 1 Probability Inequalities. CIVICS You must be at least 18 years old to vote. To ‘solve’ an inequality means to ﬁnd a range, or ranges, of values that an unknown x can take and still satisfy the inequality. Write an inequality to describe this situation. e. Inequality Your age is at least 16 years. 0 Equation Picture Objectives The student will be able to: What is the difference between and and or? PowerPoint Presentation PowerPoint Presentation 3) Which inequalities describe the following graph? 4) Graph the compound inequality 6 : m 8 5) Which is equivalent to -3 y 5? 6) Which NOTES –INEQUALITIES (One Variable, Linear, and Systems) ONE VARIABLE INEQUALITIES Inequality Symbols: < less than > greater than less than or equal to greater than or equal to include that Solving One Variable Inequalities: Solve inequalities the same way you would solve an equation. Combo 6. Write an absolute value inequality to represent the situation and then solve to find the range of temperatures in which water is not a liquid. Anoka Ramsey Community College. and inequalities. 6 Compound Inequalities Notes. Disclaimer: This calendar is constantly being updated. Three-part Inequalities The inequality 3 x < 7 represents all real numbers x such that x 3 and x < 7. A1. pdf 14 "Flip Flop" FlipFLop. Watch the video to check your solution. −4 ≥ 10 − 7x x ≥ −2 x ≤ −2 x ≥ 2 x ≤ Find Study Resources Main Menu Compound inequality: _____ _____ Write and Graph Compound Inequalities a. Addition Property of Inequality Words If you add the same number to each side of an inequality, the inequality remains true. Use or when a or symbol indicates that the interval's endpoints are included. Students also solve and graph inequalities in two variables and systems of inequalities in two variables. 10 8 2 d x 5. Divide by the positive value of the variable’s coefficient. Coordinate Algebra Solving Equations & Inequalities Notes Date: _______ COMPLETED When solving an equation or inequality, the goal is to isolate the given variable by using inverse operations. Do not use a sign. 2 Compound www. Important Notes. 3 Represent constraints by equations or ine-qualities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. Equivalent Expressions 7. 2 and 7. On a road in the city of Rochester, the maximum speed is 50 miles per hour Lesson 6. Algebra 1 Unit 6: Linear Inequalities and Absolute Value Guided Notes 2010-2011 Marion-Franklin High School Mrs. I also like the ability to create "guided note templates" from the transcripts of each video lesson. On the right, we see the optimal solution is the \last" point in the feasible region that intersects a level set as we move in the direction of increasing pro t. Follow this link to the oinline lesson (Username is fresh7ago, no password). 4 Guided Notes. Use closed dot if ≤ or ≥ then shade right or left. Management Science majors are required to take the course. Solve the compound inequality: 4<2 −8 Q10. Must get all variables on one side of the equal sign first. Exit Slip Day 8 Daily Objective: I can demonstrate mastery of the unit’s content thus far. Unit 5: Analyze, Solve, and Graph Linear Inequalities Instructor Notes. ” Sample Problem 4 : A triangle has one side of length 12 and another of length 8. Slope Review. (I speak from experience. Solve x 2 8 10. 8. 16 2. Students’ Choice Holt Algebra 2 2-8 Solving Absolute -Value Equations and Inequalities A compound statement is made up of more than one equation or inequality. Then P(jXj>) 2e 2=2. If Billy collects 5 more coupons, he would have two more than one third of Sam’s coupons. So I know you can separate the inequalities, but is there a way to answer −13 > − 5x + 2 > −28 by leaving it together? What I mean is that when you divide by This lesson is meant to be used as guided notes for a whole class. The Independent Practice is made up of both types of compound inequalities. 118 3. Solve a compound Inequality with and. pdf - Google Drive Main menu View 1. Solving Inequalities – Examples 1112 Inequality Quiz 1. notes__homework-_solving_equations_with_variables_on_both_sides. Graph the solution set on a number line, and write the solution in set-builder notation. 340) • half-plane (p. Write this example in your binder EE section. 2 8 16 2 and 7 21 9rrrr 5. inequalities of either direction, and inequality constraints need be present for some (or none) of the variables. If you are beginning your study of inequalities, I have a lot of lessons for you to study. 1) A set is a collection of objects whose contents can be clearly determined. At this point, note only that (4) describes the set of problems we will study. Introduction to Functions Text: 2. Make sure and check the calendar before and after every class period for adjustments to what will be covered, assignment changes and/or updated testing dates. They will earn $3 for each ticket purchased in advance and $4 for each ticket purchased at the door. The goals are still the same: Get the variable on one side. 7 miles3) No more than 5 DVDs 4) At least 12 more sessions5) At least 950 bags of dog food. I included both instances of flipping the sign on the flip-flops and oriented them in the opposite direction so it would be easy to write the notes on CH. A. Shade the portion of the number line above that includes numbers that are 3 or fewer units from 0. 2 You will Apply properties of operations with rational coefficients. 4 Linear Inequalities NOTES Solving Inequalities Just like solving an equation EXCEPT when you multiply or divide by a negative FLIP the inequality sign. Think about why the graphs are different. 1 O 7M1abd CeQ rw Di2tMhg iI vnVfSi FnTiBt8e w 8ATlpg ieGbhrka V q2 a. Complete 2 of the following tasks IXL Practice Worksheets Gaming K6, K7 (Alg 1) (at least to 80) Score = _____ Level 2: Solving Linear Inequality Play “Inequality Wars” game At XPMath website - One-step inequalities with multiplication and division - Constructing and solving one-step inequality Online Practice - One-step inequalities Print Notes Section 3. 1 ⃣Compare properties of two functions each represented in different ways Vocabulary: function, domain, range, function notation Definitions. 1: Solving Inequalities by Addition and Subtraction Intro to Alg. There are two ways to solve compound inequalities. Since absolute values are always positive, this is never true. Solve each compound inequality and graph 3-6 Solving Compound Inequalities Taking notes helps you arrange, organize, and process information from your textbook and . Practice: Modeling: Solving Inequalities Use a number line to represent the possible answers that exist for a given problem. 1;:::;X. The graph is the union of the graphs. www. g. • set-builder notation (p. EE. 4 Perform Rotations Term Definition Example. This is a simple application of the Comparison Property of Inequality. 353) Inequalities are used to represent various real-world situations in which a quantity must fall within a range of possible values. Inequalities help you determine how to reach your fund-raising goals. How many times can Sara withdraw money for food? Write an inequality to explain. true inequality, the resulting inequality is also true. n + 5 < 2 OR n + 5 9 6. Section 1. Kirschner -1- Section 6. Apply properties of inequality to solve inequalities and graph A. pdf: File Size: 76 kb: File Type: pdf Concept 12 Solving Linear Inequalities 3. 6 inclusively. There are three types of compound inequalities which we will investi-gate in this lesson. Which people in the line up are 3 or fewer units from 0? 2. CUES: NOTES: 7. 4 (Part 1) Solving Compound Inequalities - Section 4. a Lesson: Opening Assignment Guided Notes & Practice of solving absolute value inequalities. a) A certain species of turtle can survive in a very limited temperature range. docx File Size: Page 1 of 2. Use F to label points that make the inequality false. You can also use Interval Notation to describe an interval on the number line by these symbols: Parentheses: Use ( or ) with or to indicate that the interval’s endpoints are NOT included. • If a > b –c> b • a < b, then a –c< b Write a compound inequality for each problem. This Compound Inequalities card sort activity requires students to solve compound inequalities ("and" Graphing Linear Equations Vocabulary guided notes. Record up to 3 points for at least three correct answers. Solving Absolute Value Inequalities - Section 4. Cut along fold between margins. The clue words ‘more than’ and ‘less than’ indicate inverted order. pdf: File Size: 76 kb: File Type: pdf Chapter 6 Solving Linear Inequalities 317 Solving Linear InequalitiesMake this Foldable to help you organize your notes. 1 Solving Inequalities with Addition and Subtraction Comments (-1) Algebra Notebook Page 18 - Lesson 5. UNDERSTANDING COMPOUND INEQUALITIES • A includes two inequalities in one statement. Algebra If a < b, then a − c < b − c. Theorem 1 (The Gaussian Tail Inequality) Let X˘N(0;1). ) 1. There are three types of compound inequalities which we will investi- gate in this lesson. 6) More than 12. Inequalities - Notes and Practice (Includes Word Problems!) This set includes 2 pages for interactive notes, five worksheets, and three exit slips. List the two ways below. Example: A water analysis recommends that the pH level of a swimming pool be between 7. If the variable is negative, divide by –1 and reverse the sign. Step 3. Since this is a Union, unite the two graphs into one compound graph. Graph an inequality as well. l Worksheet by Kuta Software LLC Multi-Step Inequalities We use the same steps to solve multi-step inequalities as we did to solve multi-step equations (just remember: with inequalities, when you multiply or divide by a negative, flip the inequality symbol). a. Steps to solving inequalities: • Isolate the variable on the LEFT side of the inequality. She needs to buy a small laptop computer before the next semester. 5 summary. The lengths of the sides of a triangle are in the ratio 3:4:5. There is ONE BIG DIFFERENCE … When you multiply or divide by a negative, MUST FLIP the inequality symbol! To check solutions: If your inequality symbol is < or >, use the solution A cool free math study guide with solved problems with steps and videos. Cards 2. (Graph everything that fits either of the inequalities. If you do this for A125CompoundIneq. 10 2 12 and 7 4 9 ppp 8. Guided Lesson Explanation - Pay close attention to the graphing explanation it will save you time and time again. An absolute value inequality such as |x º 2| < 4 can be solved by rewriting it as a compound inequality, in this case as º4 < x º 2 < 4. MAT 1033 WORKSHEET # 1 INTERVAL NOTATION (SECTION 1. Unit 10 - Inequalities 6-1 Solving Inequalities by Addition and Subtraction Solve inequalities the same way you solve equations. Day 4: Writing Quadratic equations and complex number notes day. Graph the solutions. In addition to taking notes, you need to use your notes before and after class effectively. The first half of the lesson is about compound inequalities involving the word AND. Solving compound inequalities. Objective: To solve and graph simple and compound inequalities in one variable. Undo addition or subtraction 4. It can either be written as x > -1 and x < 2 or as -1 < x < 2. The < is used in place of ‘is less than. The graph helps you see the values that make the inequality true. 52 Inequalities 53 Graphs of Inequalities in One Dimension 54 Compound Inequalities in One Dimension Chapter 8: Linear Functions 55 t‐Charts 56 Slope of a Line (Mathematical Definition) 57 Slope of a Line (Rise over Run) 58 Slopes of Various Lines (8 Variations) vaporizes at 212° F. Undo multiplication or division. Linear Equations and Inequalities FOLDABLE. Chapter 3 Systems of Linear Equations and Inequalities Days Topic and Textbook Reference Sections Strand & SOL Essential Knowledge and Skills/Bloom’s Level 10 Act. Graph inequalities in the coordinate plane. −3; 0 3. Practice Worksheet - This one may take students a lot time. edu 3-2 Solving Inequalities by Adding or Subtracting 3-3 Solving Inequalities by Multiplying or Dividing You can use the concepts in this chapter to plan for a fund-raising event. Every 2 weeks she withdraws $60 from her savings account for food. Review For Test - Chapter 4 - Solving Inequalities write a compound inequality using the function of your first consideration with the domain of your second consideration. −2; 2; −5; −1 1. " I took her idea and ran with it in a slightly different direction (pun intended). As you check them out below, make sure you start right here on this page for a quick introduction to basic inequalities. Sets of real numbers can be represented using one of the following forms: 1. ACT Quality Core: D. 3 Rotation Theorem Case 1: Case 2: Case 3: Coordinate Rules for Rotations about the Origin. 7 or 7 7 10 a! d a For the following Write the inequality that represents the Graphed Solution: Solutions to inequalities can be graphed on a number line using open and closed dots. x < −3; x ≥ −1 4. Then hand each group 2 worksheets and a bag of Inequality MatchingMania cards. Graphing: Use open dot if < or > then shade right or left. parentheses: brackets: infinity: Inequa ity Use ( or ) when a < or > symbol indicates that the interval's endpoints are not included. All real numbers that are greater than or equal to -2 and less than 2. com/lesson/view/solving-compound-inequalities/ 45723689/. (B) Level 3 1. 7 or 7 7 10 a! d a For the following Write the inequality that represents the Graphed Solution: Solving Compound Inequalities Graph each inequality, and then graph the compound inequality. 3B Multi-Step and Compound Inequalities 3-4 Solving Two-Step and Multi-Step Inequalities Chapter 2: Linear Equations and Inequalities Lecture notes Math 1010 Compound inequalities Two inequalities joined by the word and or the word or give a compound inequality. pdf from AA 19/17/2019 Quiz : Inequalities Item 1 Solve for x. Only one of the two inequalities have to be true for there to be a solution Ex: x> 6 OR x<2 Case 1 Solution graph: Case 2 Solution graph: Case 3 Solution graph: No solution (the graphs don’t overlap. pdf 17 Linear inequalities homework: One-step inqualities hw. 532 11x 3. my. You can use an inequality such as to describe a portion of the number line which is called an interval. MATH 0230 M athematical Concepts with Elementary Algebra. 810. Make a connection between a compound sentence and a compound inequality with an activity that teaches learners the difference between an "and" and "or" inequality through solutions inequalities constraining the values of x 1 and x 2. • If a > b, then a + c > b + c • If a < b, then a + c < b + c SUBTRACTIONPROPERTY OF INEQUALITY If the same number is subtracted fromeach side of a true inequality, the resulting inequality is also true. Solve linear inequalities using addition, subtraction, multiplication, and division. Section 5-4 Compound Inequalities. 2-24-14: Solving Systems of Inequalities Kuta Worksheet Greater Than Inequalities General Steps: Solve: | Or Or Note: When you divide or multiply by a negative number you flip the sign Question: Why do you flip the sign and make the number negative? Answer: All an absolute value inequality does is talk about the distance away from zero. There is ONE BIG DIFFERENCE … When you multiply or divide by a negative, MUST FLIP the inequality symbol! To check solutions: If your inequality symbol is < or >, use the solution First-Degree Equations and Inequalities First-Degree Equations and You can model and Inequalities analyze real-world situations by using algebra. Turn this sheet in when you are finished. Next graph x ≥ 4 c. Note pages: Students explore and discover the rule of multiplying and dividing an inequality by a negative number Practice worksheets: Each worksheet has problems for which students solve, graph The solution to an “and” inequality is always the overlap. 5 Solving Absolute Value Equations and Inequalities. x > 3 2. Students should then cut apart each of the phrases. Inequalities can be graphed on a number line. Objective: Solve, graph and give interval notation to the solution of compound inequalities. Take the quiz. Make sure to give them plenty of time and scrap paper. a) b) EXAMPLE 4: RECOGNIZING A PATTERN IN A SEQUENCE OF INTEGERS Identify a pattern and find the next three numbers in the pattern. How to Solve 'And' & 'Or' Compound Inequalities Video. Combine like terms that occur on the same side of 3. 5 notes in PDF form Solving Linear Inequalities. Solving and Graphing Inequalities. 4x – x + 8 ≤ 35. One-Step Linear Equation Card FRONT BACK Two-Step Linear Equation Card FRONT BACK Multi-Step Linear Equation Card FRONT BACK property 2. Try It: Read Example 7 in the text, then answer the following. 05" 20% discount is the same as finding 80% of cost (. The graph of an inequality shows all of the solutions of the inequality on a number line. Linear Inequality Vocabulary A linear inequality is an open sentence that contains a variable(s) with an Inequalities Step 1. Do the warm up problems on solving inequalities. E v oAMlBlb Qr2ibgJhhtGsw trEeksSeCr1vMeFdV. An arrow to the left or right shows that the graph continues in that direction. Inequalities 135 Study Strategy: Use Your Notes Effectively Taking notes helps you arrange, organize, and process information from your textbook and class lectures. 5 guided notes. Solve the inequality and write the answer in interval notation: −5 6 Q3 4 +8 3 . Solving an Inequality of the Form |ax +b|<c. 11 Author: Laura Sheppard-Brick Created Date: 1/8/2015 9:56:47 PM Coordinate Algebra Solving Equations & Inequalities Notes Date: _____ COMPLETED When solving an equation or inequality, the goal is to isolate the given variable by using inverse operations. In complex optimization problems, we can have many constraints. c. Module 1. The turtle must live in an environment that has an average temperature of at least 70°<. Solve |2x + 7| < 11. Why is one of the graphs showing a solid ray going to the left and the other graph showing page 2 The numberline graphs of the inequalities page 3 The inequalities page 4 The solution to each inequality 3 Divide the students into groups of 2. 1 0 2 3456789 1 10 2 9876543 10 Domain This should agree with the Powered by Create your own unique website with customizable templates. First graph x < 2 b. Watch the video (Level 3: Solving & Graphing Linear Inequalities) Complete the Notes & Basic Practice, Check the Key and Correct Mistakes COMPOUND INEQUALITIES WORKSHEET Solve each inequality and graph its solution. All real numbers that are less than or equal to 3 or greater than 6. (see below) For each country, write a linear inequality and graph it using www. Translate the following statements into algebraic equations or inequalities. Look for the point at which the True statements turn to False statements. On a road in the city of Rochester, the maximum speed is 50 miles per hour Write a linear inequality from a word problem Graph a linear inequality in two variables Practice #1 Each country is being asked to donate food packages and medicine packages. x 2 8 10 8 8 Subtract 8 from both sides. 5b. docx File Size: Coordinate Algebra Solving Equations & Inequalities Notes Date: _______ COMPLETED When solving an equation or inequality, the goal is to isolate the given variable by using inverse operations. pdf Frayer 1 back. You can be sure, however, that each glass holds less than the original amount in the container. If you do this for Tuesday, 2/4/14 - Finish notes for 2-variable inequalities/ Graphing Solutions for 2-variable inequalities graphing_2-variable_inequalities_classwork_day1. The Rochester City School District does not discriminate on the basis of an individual's actual or perceived race, color, religion, creed, ethnicity, national origin, citizenship status, age, marital status, partnership status, disability, predisposing genetic characteristics, sexual orientation, gender (sex), military status, veteran status, domestic violence victim status or political A includes two inequalities in one statement. Read about solving absolute value inequalities. An example of a compound "and" inequality with no overlap. LT: I can solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Solve absolute value equations and inequalities. Inequalities - Compound Inequalities. When the inequality is simplified, the result is an inequality that sets the absolute value of an expression less than a negative number. l Worksheet by Kuta Software LLC 3A Simple Inequalities 3-1 Graphing and Writing Inequalities 3-2 Solving Inequalities by Adding or Subtracting 3-3 Solving Inequalities by Multiplying or Dividing 3B Multi-Step and Compound Inequalities 3-4 Solving Two-Step and Multi-Step Inequalities 3-5 Solving Inequalities with Variables on Both Sides Lab Truth Tables and Compound Statements Notes: For all real numbers z, Solving Inequalities Guided Notes 4. Do not write on this sheet. desmos. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. A tortoise crawling at a rate of 0. For a man to 4-2: Absolute Value Inequalities NAME:_____ PER:_____ DATE:_____ CUES: NOTES: Absolute Value Inequality: 1. When there is 10 minutes remaining in the period, I plan to hand my students an Exit Slip to complete. −2x+3≥13 Graphing Inequalities Compound and You can have a new Xbox & a new game Compound Or You can have a new Xbox or a new game or Solve −23<5!+2<17 Solve 7!−2>−2!!"!4!−3≤−25 Vocabulary: Compound Inequality - two inequalities that are combined into one statement by the words and or or. pdf; 1. 2-24-14: Solving Systems of Inequalities Kuta Worksheet Lesson 5-5 Inequalities in Triangles 289. Date________________. ’ 5. 4 (Part 2) Solving Absolute Value Equations - Section 4. 11 This is called a constraint of the optimization problem. We develop general methods for solving linear equations using properties of equality and inverse operations. pdf Inequalities - Compound Inequalities Objective: Solve, graph and give interval notation to the solution of compound inequalities. Write a compound inequality to show the pH levels that are within the recommended range. GUIDED PRACTICE. pdf: File Size: 91 kb: File Type: Download File exterior angle inequality theorem “The measure of an exterior angle of a triangle is greater than the measure of either of its remote interior angles. Solve and graph 3m > m + 4 or -2m > m – 6 3. The hare wants to rest another 30 min before chasing the tortoise at the rate of 5 mi/h. High School Algebra Math Notes and Extra Help Page Please feel free to reference the below notes and powerpoints. LESSON 5: SOLVING LITERAL EQUATIONS AND FORMULAS Study: Solving Literal Equations and Formulas Learn how to solve literal equations for one variable. 2x – 3 > 2(x-5) 12. For the clue words, ‘the product of’ place the constant before the variable. They also use linear programming to solve real-world problems. 3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non- equations and inequalities. 7 Objective 3 Solving Compound Inequalities in One Variable A. pdf GO inequalities Front. compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities). 1) No more than 12 weeks2) No more than 12. 3 notes in PDF form range from 18 degrees Celsius to 22 degrees Celsius. Solving Linear Inequalities Label each page with a lesson number and title. The laptop costs $600. Include equations arising from SOLVING ABSOLUTE VALUE EQUATIONS AND INEQUALITIES ON A NUMBER LINE A Thesis Presented to the Faculty of California State University, San Bernardino In Partial Fulfillment of the Requirements for the Degree Master of Arts in Teaching: Mathematics by Melinda Antoinette Curtis September 2016 332 Chapter 8 Inequalities. Solve the inequality 24 25 3 x d . educreations. ) Solving inequalities mc-TY-inequalities-2009-1 Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. Compound Inequalities WS. This is one type of compound inequality. Students work as a pair matching the appropriate solutions to each graph, but will individually fill out their own NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 22: Solution Sets to Simultaneous Equations / Systems of Equations Opening Exercise Consider the following compound sentence: x + y > 10 and y = 2x + 1. 2 66r o345 xx 2. All comments will be approved before they are posted. x ≤ 4 or x ≥ 5 7. Ex: 2 < x < 6 x> 2 AND x<6 “or” statements will always have a solution. 11 ©h vKjuqtWaR 9S7oMfUtfw la XrWeX LLpLQCB. Go over the example problem of solving absolute value inequalities. English and math have more in common than you think. Students will apply their equation solving ability to inequalities (mathematical practice 7) - which require a graph of the solution. 5 Solving Inequalities Objectives: • Solve Inequalities Second, we can use the set-builder notation. • Algebra I tasks do not involve compound inequalities. 33 7m 4. Key Vocabulary. 1: Create equations and inequalities in one variable and use them to solve problems. 6. x ≥ −2; x < 3 5. Third, we can use interval notation. Guided Lesson - Help Mike buy some stuff for his apartment. Get Started Linear Programming Notes I: Introduction and Problem Formulation 1 Introduction to Operations Research Economics 172 is a two quarter sequence in Operations Research. AI-A. 2: Compound Inequalities A linear inequality in one variable is in one of the following forms: ax+b < c ax+b c ax+b > c ax+b c where x is a variable and a;b; and c are real numbers (a 6= 0). Case 1 Solution graph: Case 2 Solution graph: Case 3 Solution graph: The solution to an “or” inequality is the combined sections of both graphs. Sara goes to Fredonia University. The domain of the composite function is where this domain overlaps the starting domain of our first function. 2 Modeling a Business This lesson is all about putting two of our known ideas, Absolute Value and Inequalities, together in order to Solve Absolute Value Inequalities. , Represent inequalities describing nutritional To solve an absolute-value inequality, first use inverse operations to isolate the absolute-value expression. Include a process column. 06_ Compound Inequalities - Algebra II A 19-20 Rm2. IFBox 6 Checking:p. Students work as a pair matching the appropriate solutions to each graph, but will individually fill out their own worksheets. If there are no clue words, write the equation in the order that the words appear. " Solving One-Step Inequalities - Section 4. Many times with word problems you have to translate words into inequalities. When you empty a container of juice into two glasses, it is difﬁcult to be sure that the glasses get equal amounts. 05a = 1. Mr. Get all the variables on the left and all the numbers on the right of the sign by adding opposites. n˘N(0;1) then P(jX. Explain the method of writing absolute value equations and inequalities as compound statements. Groups - # 4. 5a. This is the worksheet given to Blocks 1 & 3 to practice solving one-step inequalities with decimals and fractions. b) A certain highway has a speed limit of 70 mph. -15c – 28 > 152 10. Solutions to inequalities can be graphed on a number line using open and closed dots. Solving Equations and Inequalities ©h vKjuqtWaR 9S7oMfUtfw la XrWeX LLpLQCB. x 2 2 means x2 AND 2. compound inequalities guided notes pdf

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