Chapter 1 - Section 1.6 - Equations and Inequalities Involving Absolute Value - 1.6 Assess Your Understanding - Page 133: 25

The solution set is {$-\frac{1}{2},\frac{1}{2}$}.

$4-|2x|=3$ Isolate the absolute value $-|2x|=3-4$ $-|2x|=-1$ $|2x|=1$ $2x=1$ or $2x=-1$ $x=\frac{1}{2}$ or $x=-\frac{1}{2}$ The solution set is {$-\frac{1}{2},\frac{1}{2}$}.