Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.7 - Polynomial and Rational Inequalities - Exercise Set - Page 413: 42

Answer

$(-\infty,4]$

Work Step by Step

Step 1. Factor the inequality as $x^2(x-4)\leq0$. Then the boundary points are $x=0,4$ Step 2. Using the test points to examine signs across the boundary points, we have $...(-)...(0) ...(-)...(4)...(+)...$ Thus the solutions are $x\leq4$ Step 3. We can express the solutions on a real number line as shown in the figure. Step 4. We can express the solutions in interval notation as $(-\infty,4]$
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