Precalculus (6th Edition) Blitzer

by Blitzer, Robert F.

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 414: 89

Answer

$(1,4]$

Work Step by Step

Step 1. Graph the function $f(x)=\frac{x-4}{x-1}$ as shown in the figure. Step 2. The zeros of the function can be identified as $x=4$ Step 3. We can identify the regions where $f(x)\leq0$ as $(1,4]$

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