Answer
$35\geq q\geq13$
Work Step by Step
$|24-q|\leq11$ implies $-11\leq 24-q\leq11\\-35\leq-q\leq-13\\35\geq q\geq13$.
Then, by using a graphing utility, the solution set is attached.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/56021938-47f8-49c9-8c55-d9f16c6d86e4/steps_image/small_1572786413.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20241221%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20241221T114829Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=5829b50e1ffa6d2600d22d0d1ae585860fff68482d6d734d1d28ed7efc76c3bb)
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