College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.5 - Solving Inequalities - 1.5 Assess Your Understanding: 99

Answer

$a=\displaystyle \frac{1}{4}$ and $b=1$

Work Step by Step

We are given: $-3\lt x\lt 0$ We add $4$: $-3+4\lt x+4\lt 0+4$ $1\lt x+4\lt 4$ We take the reciprocal: $1\gt \frac{1}{x+4}\gt \frac{1}{4}$ $\frac{1}{4}\lt \frac{1}{x+4}\lt 1$ Therefore: $a=\displaystyle \frac{1}{4}$ and $b=1$
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