Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 3 - Section 3.7 - Polynomial and Rational Inequalities - 3.7 Exercises - Page 317: 45

Answer

$[-2, 1] U[3, ∞)$

Work Step by Step

This question asks for a graph to solve the inequality. Thus, I shall be using Desmos to solve these inequalities with the zeros of the function stated in the graph. Given $f(x) = x^3 - 2x^2 - 5x + 6 \geq 0$ In the graph below, the zeros are at x= -2, 1, 3 From [-2, 1] and [3, ∞), the graph is above 0. Thus the solution is $[-2, 1] U[3, ∞)$
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