Answer
Interval Notation :$[-10,3]$
Graph:
Work Step by Step
$|2x+7| \leq 13$
Using an absolute inequality property, the given expression can be written as
$-13 \leq 2x+7 \leq 13$
To solve inequality, add $-7$ to all parts,
$-13-7 \leq 2x+7-7 \leq 13-7$
$-20 \leq 2x \leq 6$
Divide all parts by $2$, we get
$-10 \leq x \leq 3$
In Interval Notation : $[-10,3]$