Precalculus (6th Edition) Blitzer

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

Chapter 2 - Review Exercises - Page 432: 85


$-3\lt x\lt \frac{1}{2}$

Work Step by Step

Step 1. Factoring the inequality as $(2x-1)(x+3)\lt0$, we can identify the boundary points as $x=-3,\frac{1}{2}$ Step 2. Use test points to examine the signs of the left side across the boundary points; we have $...(+)...(-3)...(-)...(\frac{1}{2})...(+)...$; thus the solutions are $-3\lt x\lt \frac{1}{2}$ Step 3. We can graph the solution on a real number line as shown in the figure.
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