# Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 211: 9

$b=-\frac{1}{2}\ or\ b=\frac{1}{2}$

#### Work Step by Step

$|b|=\frac{1}{2}\longrightarrow$ definition of absolute value $b=-\frac{1}{2}\ or\ b=\frac{1}{2}$ Check each solution. $|-\frac{1}{2}|=\frac{1}{2}\checkmark$ $|\frac{1}{2}|=\frac{1}{2}\checkmark$

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