Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 4 - Polynomial and Rational Functions - 4.4 Polynomial and Rational Inequalities - 4.4 Assess Your Understanding - Page 219: 26

Answer

$(-\infty,-3]U[-2,-1]$

Work Step by Step

Step 1.Identify boundary points (zeros) as $x=-3,-2,-1$ which divide the x-axis into four intervals $(-\infty,-3],[-3,-2],[-2,-1],[-1,\infty)$ Step 2. Choose test values in each interval $x=-4,-2.5,-1.5,0$ and test the inequality to get $True,\ False,\ True, \ False$ Step 3. Thus the solution intervals are $(-\infty,-3]U[-2,-1]$
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