Answer
$x\geq12$ or $x\leq-18$.
Work Step by Step
$|x+3|\geq15$ implies $x+3\geq15\\x\geq12$ or $x+3\leq-15\\x\leq-18$.
Thus $x\geq12$ or $x\leq-18$.
Then, by using a graphing utility, the solution set is attached.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/b74b40d2-8ce2-40bb-850a-df7fe70199c1/steps_image/small_1573997955.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T011850Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=b05dfd2e81064f7a0551528ac3890c5ec3c09f1f8aa459824095dec02cebbaa0)
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