Answer
$-2 \lt h \lt 8$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/8507509f-e639-4d27-86fe-d369e5573aaf/result_image/1596633726.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T003530Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=7d2399e7f9fbaf90b4b4cbea811e943d5bf7aaf27bc23aca148d8a5d90571cc2)
Work Step by Step
Given: $|h-3| \lt 5$
$h - 3 \lt5$ or $h-3 \gt-5$
$h \lt 8$ or $h \gt -2$
The solution set is $-2 \lt h \lt 8$.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.