Precalculus (6th Edition) Blitzer

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

Chapter 2 - Section 2.7 - Polynomial and Rational Inequalities - Exercise Set: 71

Answer

$[-6, -0.5] ∪ [1, ∞)$

Work Step by Step

Given: The inequality $2x^{3}+11x^{2}≥7x+6$ Rewrite the polynomial Inequality as follows: $2x^{3}+11x^{2}-7x-6≥0$ According to the graph given in the question, the intervals of f(x) greater than 0 are$[-6, -0.5]$ or $[1, ∞)$. Thus, the interval notation of the inequality is$[-6, -0.5] ∪ [1, ∞)$ .
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