Answer
$0\leq q\leq3$.
Work Step by Step
$|2q-3|\leq3$ implies $-3\leq 2q-3\leq3\\0\leq2q\leq6\\0\leq q\leq3$.
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.