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Practice Problems. • e-Professors. • Self-Tests. • Videos. • NetTutor. Section 9.3. Practice Exercises. Study Skills Exercise. 1. Define the key term absolute value equation. Review Exercises. For Exercises 2–7, solve the inequalities. Write the answers in interval notation. 2. 3. 4. 5. 6. 7. Concept 1: Solving Absolute Value
Solving inequalities. Inequalities are mathematical expressions involving the symbols >, <, ? and ?. To 'solve' an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality. In this unit inequalities are solved by using algebra and by using graphs. In order to master the
x. –3 –2 –1 0 1 2 3. As you can see, solving linear inequalities is very similar to solving linear equations. There is only one thing you need to keep in mind when multiplying or dividing a negative number, the direction or sense of the inequality is reversed. For example, if the sign is >, after multiplying or dividing by a negative.
Solving inequalities mc-TY-inequalities-2009-1. Inequalities are mathematical expressions involving the symbols >, <, ? and ?. To 'solve' an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality. In this unit inequalities are solved by using algebra and by using
Recognize equivalent inequalities. • Solve inequalities and graph solutions. • Model and solve real-world problems involving inequalities. Teaching Time. I. Graph Inequalities on a Number Line. In the last few lessons you have been learning about equations and about balancing an equation. Lets think about equations.
Maximum girth. United Parcel Service defines the girth of a box as the sum of the length, twice the width, and twice the height. The maximum girth that UPS will ship is 130 in. If a box has a length of 45 in. and a width of 30 in., then what inequality must be satisfied by the height? 45. 2(30). 2h. 130. 86. Batting average. At one
1. Solving. Inequalities. HOMEWORK/PRACTICE. WORKSHEETS. • Inequalities and their Number Line Graphs. • Solving One-step Inequalities with Addition. Property. • Solving One-step Inequalities with Multiplication. Property. • Solving Two-step Inequalities. • Solving Multi-step Inequalities. • Inequality Word Problems.
2.6 Absolute Value Equations and Inequalities. (2-53) 105. E X A M P L E 2. Absolute value equal to zero. Solve 2(x 6). 7. 0. Solution. Since 0 is the only .. gle problem. If a problem is taking a long time, then you might be approaching it in- correctly. Move on to another problem and make sure that you get finished with the
21 Oct 2003 Table of Contents. 1. Inequalities (Introduction). 2. Rules for Inequalities. 3. Solving Inequalities. 4. Further Inequalities. 5. Quiz on Inequalities. Solutions to Exercises. Solutions to Quizzes
Lecture Notes. Solving Linear Inequalities page 1. Sample Problems. Solve each of the following inequalities. Graph the solution set. 1. 7 > 5x + 3. 2. 3(x 2) ! 2x + 1. 3. 5 (4x 1) (x 3) " x 2. 4. m + 4. 2. 4m + 3. 5. > 2. Practice Problems. Solve each of the following inequalities. Graph the solution set. 1. x 17 > 4x + 3. 2. 3x + 5 ! 12.
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