Precalculus (6th Edition) Blitzer

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

Chapter 2 - Test - Page 434: 27

Answer

$(-3,4)$
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Work Step by Step

Step 1. Rewrite the inequality as $x^2-x-12=(x-4)(x+3)\lt0$ Thus the boundary points are $x=-3,4$ Step 2. Using test points to examine the signs of the left side across the boundary points, we have $...(+)...(-3)...(-)...(4)...(+)...$; thus the solutions are $(-3,4)$ Step 3. We can graph the above solution on a real number line as shown.
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