Answer
$-2\lt x\lt 2,\qquad$ or, $x\in(-2,2)$
Work Step by Step
Use properties from the table 'Absolute Values and Intervals".
Apply Property 6:
$|x|\lt a\quad\Leftrightarrow\quad -a\lt x\lt a, \quad $ for a = positive number
We have:
$|x|\lt 2\quad\Leftrightarrow\quad -2\lt x\lt 2$
This is an open interval, $(-2,2)$
See table: "Types of intervals."