## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$-3 \le x \le 7$
Recall: $|a| \le b \longrightarrow -b\le a \le b$ Use the rule above with $a=x-2$ and $b=5$ to obtain: \begin{align*} |x-2|\le 5 \\ &\longrightarrow -5 \le x-2 \le 5\\ &-5+2 \le x-2+2 \le 5+2\\ &-3 \le x \le 7 \end{align*}