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 316: 32

Answer

$(-\infty,-1)\cup 1$

Work Step by Step

1. factorize both the numerator and the denominator: $\frac{(x-1)^2}{(x+1)^3}\leq0$ 2. The numerator will be positive except $x=1$ which is a solution. 3. Let the denominator $\lt0$, we have $x\lt-1$ 4. The solution: $(-\infty,-1)\cup 1$
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