Answer
$\left\{\begin{array}{l}
-1 \leq x \leq 1 \\
-2 \leq y \leq 2
\end{array}\right.$
.
Work Step by Step
$|x| \leq 1\quad \Leftrightarrow\quad -1 \leq x \leq 1$
$|y| \leq 2\quad \Leftrightarrow\quad -2 \leq y \leq 2$
So the system is $\left\{\begin{array}{l}
-1 \leq x \leq 1 \\
-2 \leq y \leq 23
\end{array}\right.$
Graphing:
$-1 \leq x \leq 1 $
shade the region between lines $x=-1$ and $x=1$
(solid lines, since the inequality signs are $\leq$ )
$-2 \leq y \leq 2 $
shade the region between lines $y=-2$ and $y=2$
(solid lines, since the inequality signs are $\leq$ )
The solution set is the set with both shadings.
