Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 3 - Linear and Quadratic Functions - 3.5 Inequalities Involving Quadratic Functions - 3.5 Assess Your Understanding - Page 160: 16

Answer

$(-\frac{2}{3},\frac{3}{2})$.

Work Step by Step

$6x^2\lt6+5x\\6x^2-5x-6\lt0=(2x-3)(3x+2)\lt0$ has a solution set of $(-\frac{2}{3},\frac{3}{2})$. (See the graph of $6x^2-5x-6$, the area under the x-axis is the solution).
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