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: 21

Answer

$ (4,\infty)$

Work Step by Step

Step 1. Factor and identify boundary points (zeros) $x^2(x-4)\gt0$ as $x=0,4$ which divide the x-axis into three intervals $(-\infty,0),(0,4),(4,\infty)$ Step 2. Choose test values in each interval $x=-1,1,5$ and test the inequality to get $False,\ False, \ True$ Step 3. Thus the solution interval is $ (4,\infty)$
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