Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 2 - Linear and Quadratic Functions - Section 2.8 Equations and Inequalities Involving the Absolute Value Function - 2.8 Assess Your Understanding - Page 182: 40


$(-9,9)$. Refer to the graph below.

Work Step by Step

Using the definition of the absolute value, we have $$ |x|\lt 9\Longrightarrow -9\lt x\lt 9 $$ and this can be written in terms of intervals as all $x$ in the interval $(-9,9)$. To graph the solution set, plot holes (or hollow dots) at $-9$ and $9$ then shade the region in between them. (Refer to the graph below)
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.