Chapter 1, Equations and Graphs - Section 1.8 - Solving Absolute Value Equations and Inequalities - 1.8 Exercises - Page 153: 4

(a) $2x-1=5$ and $2x-1=-5$ (b) $-8\leq 3x+2\leq 8$

(a) To solve the equation $|2x-1|=5$ we think of it as two separate equations: $2x-1=5$ and $2x-1=-5$ (b) To solve the equation $|3x+2|\leq 8$ we think of it as a combination of two inequalities: $-8\leq 3x+2\leq 8$