Answer
$-5\lt w\lt15$
Work Step by Step
$|3w-15|\lt30$ implies $-30\lt 3w-15\lt30\\-15\lt 3w\lt45\\-5\lt w\lt15$.
Then, by using a graphing utility, the solution set is attached.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/47cab89a-b897-40c2-bf88-b2bd1d8c5a18/steps_image/small_1572785164.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000942Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=029acafff088020e58aecffc47e82afa3f9e15a81258b795307ea101bc611800)
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