Precalculus (6th Edition) Blitzer

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 413: 45

Answer

$(-4,-3)$

Work Step by Step

Step 1. Based the inequality $\frac{x+3}{x+4}\lt0$, the boundary points are $x=-4,-3$ Step 2. Using test points to examine signs across the boundary points, we have $...(+)...(-4)...(-)...(-3)...(+)...$ Thus the solutions are $-4\lt x\lt-3$ Step 3. We can express the solutions on a real number line as shown in the figure. Step 4. We can express the solutions in interval notation as $(-4,-3)$
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