Chapter 1, Equations and Graphs - Section 1.8 - Solving Absolute Value Equations and Inequalities - 1.8 Exercises - Page 153: 44

Interval: $[-54, 42]$

$2| \frac{1}{2}x+3|+3\leq 51$ $2| \frac{1}{2}x+3|\leq 51-3$ $2|\frac{1}{2}x+3|\leq 48$ $|\frac{1}{2}x+3|\leq 48/2$ $|\frac{1}{2}x+3|\leq 24$ $-24\leq\frac{1}{2}x+3\leq 24$ $-27\leq\frac{1}{2}x\leq 21$ $-54\leq x\leq 42$ Interval: $[-54, 42]$