Answer
Interval Notation : $[-1,1]$
Graph :
Work Step by Step
$|x| +6 \leq 7$
Isolate absolute value expression by adding $-6$ to both sides,
$|x| +6-6 \leq 7-6 $
$|x| \leq 1$
Using the absolute value inequality property, this expression becomes
$-1 \leq x \leq 1$
Interval Notation : $[-1,1]$