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: 100

Answer

$a=-\displaystyle \frac{1}{2}$ and $b=-\displaystyle \frac{1}{4}$

Work Step by Step

We are given: $2\lt x\lt 4$ We subtract $6$: $2-6\lt x-6\lt 4-6$ $-4\lt x-6\lt -2$ We take the reciprocal: $-\frac{1}{4}\gt \frac{1}{x-6}\gt -\frac{1}{2}$ $-\frac{1}{2}\lt \frac{1}{x-6}\lt -\frac{1}{4}$ Therefore: $a=-\displaystyle \frac{1}{2}$ and $b=-\displaystyle \frac{1}{4}$
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