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: 34

Answer

$(-\infty,-1)U(3,\infty)$

Work Step by Step

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