Answer
$x\geq2$ or $x\leq-8$
Work Step by Step
$|2x+6|\geq10$ implies $2x+6\geq10\\2x\geq4\\x\geq2$ or $2x+6\leq-10\\2x\leq-16\\x\leq-8$.
Thus $x\geq2$ or $x\leq-8$.
Then, by using a graphing utility, the solution set is attached.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/6b937042-b8b9-4e44-ac4f-6c1b149bd03a/steps_image/small_1572785267.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001159Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=2261c3c2c11c7ac34d83d29ba65c2d6b9e1554f46c1ffd021d87330a502beb7e)
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