Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.1 - Exponential Functions - Exercise Set - Page 451: 96

Answer

$(-4,\frac{3}{2})$
1582857054

Work Step by Step

Step 1. Rewrite the inequality as $2x^2+5x-12\lt0$ or $(2x-3)(x+4)\lt0$ We can identify the boundary points as: $x=-4, \frac{3}{2}$ Step 2. Using test points to examine the signs of the left side across the boundary points, we have $...(+)...(-4)...(-)...(\frac{3}{2})...(+)...$ and the solutions are $(-4,\frac{3}{2})$ Step 3. We can graph the solutions on a real number line as shown in the figure.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.