Answer
$(-6,6)$
Refer to the graph below.
Work Step by Step
Using the definition of the absolute value, we have
$$
|x|\lt 6\Longrightarrow -6\lt x\lt 6
$$
and this can be written in terms of intervals as all $x$ in the interval $(-6,6)$.
To graph the solution set, plot holes (or hollow dots) at $-6$ and $6$ then shade the region in between them. (Refer to the graph below)
