Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.8 - Inequalities - 1.8 Exercises - Page 89: 47


(-$\infty$,-3) $\cup$ (6,$\infty$)

Work Step by Step

$x^{2}$ $\gt$ 3(x+6) $x^{2}$ $\gt$ 3x+18 $x^{2}$ -3x -18 $\gt$ 0 (x-6)(x+3) $\gt$ 0 From factored trinomial we can see that factors are zero when x=-3 or x=6, endpoints don't satisfy the inequality. Plug values from intervals to decide which of them satisfy the inequality.
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