102 Chapter 1 Linear Equations and Inequalities in One Variable Answer 10. e 1 4 f Solving an Equation Having Two Absolute Values Example 7 Solve the equation. Solution: Rewrite as two equations, . Solve for x. 0x 4 0 0x 8 0 0x 4 0 0x 8 0 4 8 or x 4 x 8 contradiction The solution set is 526. 2x 4 8 2x 4 x 2 Skill Practice Solve the equation. 10. 04t 3 0 04t 5 0 x y or x y x 4 x 8 or x 4 1x 82 checks in the x 2 original equation. Section 1.6 Practice Exercises Study Skills Exercise One way to know that you really understand a concept is to explain it to someone else. In your own words, explain how to solve an absolute value equation. Vocabulary and Key Concepts 1. a. An value equation is an equation of the form . If a is a positive real number then the solution set is . 0x 0 a 0x 0 5 7? b. What is the first step to solve the absolute value equation c. The absolute value equation implies that x or x . d. The solution set to the equation is .The solution set to the equation is . 0x 4 0 0 0x 0 0y 0 0x 4 0 2 Review Exercises For Exercises 2–6, solve the compound inequalities. Write the answers in interval notation. 31a 22 3x 5 7x 3 or 2x 1 4x 5 6 7 2 and 21a 32 14 7 3 2. 3. x 4 2 5 6 2 x 6 7 3 4. 5. 6. Concept 1: Solving Absolute Value Equations For Exercises 7–42, solve the absolute value equations. (See Examples 1–5.) 35 4 x 2 6 7 1 0x 0 0x 0 3 20 0q 0 5 11 0p 0 10 7 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 0w0 18. 0w0 4 8 0y 0 0y 0 15 3 5 12 0z 0 0w0 14 10 0x 0 3 1 0y 0 12 6 8 5
miller_intermediate_algebra_4e_ch1_3
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