# Solve the absolute value and find the intervals. |x+2|\le 4

Solve the absolute value and find the intervals.
$|x+2|\le 4$
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Warajected53
Step 1
We need to solve $|x+2|\le 4$.
So,
$|x+2|\le 4$
$⇒-4\le x+2\le 4$
$⇒x\ge -6\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}x\le 2$
$⇒-6\le x\le 2$
Thus, the solution interval is [-6, 2].