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: 30

Answer

$[-3,-2]\cup[-1,\infty)$

Work Step by Step

Step 1. The boundary points are $x=-3,-2,-1$ Step 2. Using test points to examine signs across the boundary points, we have $...(-)...(-3)...(+)...(-2)...(-)...(-1)...(+)...$ Thus the solutions are $-3\leq x\leq -2$ plus $x\geq -1$ 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 $[-3,-2]\cup[-1,\infty)$
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