Concepts Examples Solve. 5x - 2 = 3 5x - 2 = 3 or 5x - 2 = -3 5x = 5 or 5x = -1 x = 1 or x = - 1 5 The solution set is E - 1 5 , 1F. 5x - 2 63 -3 65x - 2 63 -1 6 5x 65 - 1 5 6 x 61 The solution set is A - 1 5 , 1B. 5x - 2 Ú 3 5 x - 2 … -3 or 5x - 2 Ú 3 5x … -1 or 5x Ú 5 x … - 1 5 or x Ú 1 The solution set is A -∞, - 1 5D ´31, ∞2. Chapter 1 Review Exercises 1.8 Absolute Value Equations and Inequalities Solving Absolute Value Equations and Inequalities For each equation or inequality in Cases 1–3, assume that k 70. Case 1: To solve x = k, use the equivalent form x =k or x = −k. Case 2: To solve x 6k, use the equivalent form −k *x *k. Case 3: To solve x 7k, use the equivalent form x * −k or x +k. Solve each equation. 1. 2x + 8 = 3x + 2 2. 1 6 x - 1 12 1x - 12 = 1 2 3. 5x - 21x + 42 = 312x + 12 4. 9x - 111k + p2 = x1a - 12, for x 5. A = 24ƒ B1p + 12 , for ƒ (approximate annual interest rate) Solve each problem. 6. Concept Check Which of the following cannot be a correct equation to solve a geometry problem, if x represents the measure of a side of a rectangle? (Hint: Solve the equations and consider the solutions.) A. 2x + 21x + 22 = 20 B. 2x + 215 + x2 = -2 C. 81x + 22 + 4x = 16 D. 2x + 21x - 32 = 10 193 CHAPTER 1 Review Exercises
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