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: 47

Answer

$(-∞, -1.366)U(0.366, 1)$

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 $f(x)=2x^3 - 3x + 1<0$ In the graph below, the zeros are at x= -1.366, 0.366, 1 From (-∞, -1.366) and (0.366, 1), the graph is below 0. Thus the solution is $(-∞, -1.366) U (0.366, 1)$
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