Answer
$\left[
-2,2
\right]$
Work Step by Step
Using the definition of absolute value inequality, then
\begin{align*}
|x|\le2\\
-2\le x\le2
.\end{align*}
Hence, the interval that satisfies the given is inequality is $\left[
-2,2
\right]$.
*Note: Definition of Absolute Value Inequalities
(1) $|x|a\leftrightarrow xa$\\
This is also true for $\le$ and for $\ge$.