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: 22



Work Step by Step

Step 1. Rewrite the inequality as $x(3x-5)\leq0$; the boundary points are $x=0,\frac{5}{3}$ Step 2. Using test points to examine signs across the boundary points, we have $...(+)...(0)...(-)...(\frac{5}{3})...(+)...$ Thus the solutions are $0\leq x\leq \frac{5}{3}$ 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 $[0,\frac{5}{3}]$
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