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: 54



Work Step by Step

$16x\leq x^{3} \rightarrow x^{3}-16x \geq0 \rightarrow x(x^{2}-16)\geq \rightarrow x(x-4)(x+4)\geq0$ These are zero when x=0, x=4,x=-4. These numbers divide the real line into the intervals $(-\infty,0)(0,-4)(-4,4)(4,+\infty)$ Ussing the test points to determine the sign of each factor in each interval:
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