Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.7 - Polynomial and Rational Inequalities - 3.7 Exercises - Page 317: 54

Answer

$(-\infty,-c)\cup[-a,b]$

Work Step by Step

1. Factorize the numerator as $(x+a)(x-b)$ and the cut points can be identified as $-c,-a,b$ 2. Considering the fact that $0\lt a\lt b\lt c$, we can build up a table as shown in the figure. 3. Based on the signs and end results, we can get the solution as $(-\infty,-c)\cup[-a,b]$
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