Answer
$\frac{-c-b}{a}\lt x\lt\frac{c-b}{a}$
Work Step by Step
$|ax+b|\lt c$ implies $-c\lt ax+b\lt c\\-c-b\lt ax\lt c-b\\\frac{-c-b}{a}\lt x\lt\frac{c-b}{a}$.
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.