Answer
Interval Notation : $[-5,5]$
Graph:
Work Step by Step
$|x| +7 \leq 12$
To isolate the absolute value expression, add $-7$ to both sides.
$|x| +7 -7 \leq 12-7 $
$|x| \leq 5$
By the property, $|X| \leq a = −a\leq x \leq a$ the absolute value inequality becomes
$-5 \leq x \leq 5$
Interval Notation : $[-5,5]$
