#### Answer

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

#### 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.