Answer
$1\lt x\leq4$
Work Step by Step
$5\lt2x+3\leq11\\2\lt2x\leq8\\1\lt x\leq4$
Then, by using a graphing utility, the solution set is attached.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/8592f1a2-e315-43da-a6c0-7315c517ac01/steps_image/small_1573137397.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T015622Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=fadd7b5f329bf146ef1e03d6f5f3d96914c30b476fef2edb5b4c14219c648f46)
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.