College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.7 - Solving Inequalities - 1.7 Exercises - Page 148: 52

Answer

$(-\infty,-1)\cup(1,+\infty)$

Work Step by Step

$x^{2}(x^{2}-1)\geq0 \rightarrow x^{2}(x-1)(x+1)\geq0$ These are zero when x=0, x=1,x=-1. These numbers divide the real line into the intervals $(-\infty,0)(0,-1)(-1,1)(1,+\infty)$ Ussing the test points to determine the sign of each factor in each interval:
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