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 3 - Polynomial and Rational Functions - Section 3.6 Polynomial and Rational Inequalities - 3.6 Assess Your Understanding - Page 263: 2

Answer

$[-3,8]$ See graph.

Work Step by Step

Step 1. $x^2-5x\le24 \Longrightarrow x^2-5x-24\le0 \Longrightarrow (x+3)(x-8)\le0$ Step 2. Identify boundary points $x=-3,8$ and form intervals $(-\infty,-3],[-3,8],[8,\infty)$ Step 3. Choose test values for each interval $x=-4,0,9$ and test the inequality to get results $False,\ True,\ False$ Step 4. Write the solution $[-3,8]$ Step 5. See graph.
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.