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: 50

Answer

$[-1,312, 0] U [1,512, ∞)$

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 $x^5 + x^3 \geq x^2 + 6x$ $x^5 + x^3 - x^2 - 6x \geq 0$ In the graph below, the zeros are at x= -1.312, 0, 1.512 From [-1,312, 0] and [1,512, ∞), the graph is above 0. Thus the solution is $[-1,312, 0] U [1,512, ∞)$
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