Answer
$0.5\leq y\leq4$
Work Step by Step
$|4y-9|\leq7$ implies $-7\leq 4y-9\leq7\\2\leq4y\leq16\\0.5\leq y\leq4$.
Then, by using a graphing utility, the solution set is attached.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/fd919f72-29dd-4d66-9789-1fd65c5a79ee/steps_image/small_1572785352.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001138Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=a9abf04fabb5e56224c2549318e44c1da74df10f50e3689b215fcc0d4a77dc57)
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