# Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.5 - Page 572: 69

$\left\{\begin{array}{l} -2 \leq x \leq 2 \\ -3 \leq y \leq 3 \end{array}\right.$ .

#### Work Step by Step

$|x| \leq 2\quad \Leftrightarrow\quad -2 \leq x \leq 2$ $|y| \leq 3\quad \Leftrightarrow\quad -3 \leq y \leq 3$ So the system is $\left\{\begin{array}{l} -2 \leq x \leq 2 \\ -3 \leq y \leq 3 \end{array}\right.$ Graphing: $-2 \leq x \leq 2$ is the region between lines $x=-2$ and $x=2$ (solid lines, since the inequality signs are $\leq$ ) $-3 \leq y \leq 3$ is the region between lines $y=-3$ and $y=3$ (solid lines, since the inequality signs are $\leq$ ) The solution set is the set with both shadings.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.