Chapter 1, Equations and Graphs - Section 1.8 - Solving Absolute Value Equations and Inequalities - 1.8 Exercises - Page 153: 41

Interval: $[- \frac{1}{2}, \frac{3}{2}]$

$8-|2x-1| \geq 6$ $-|2x-1| \geq 6-8$ $-|2x-1|\geq-2$ $|2x-1|\leq 2$ $-2\leq 2x-1\leq 2$ $-1\leq 2x\leq 3$ $-\frac{1}{2}\leq x\leq\frac{3}{2}$ Interval: $[- \frac{1}{2}, \frac{3}{2}]$