College Algebra 7th Edition

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

Chapter 1, Equations and Graphs - Section 1.9 - Solving Equations and Inequalities Graphically - 1.9 Exercises - Page 159: 40


$[2.15, +\infty)$

Work Step by Step

Graph $y_1 =(x+1)^2$ (the orange graph) and $y_2=x^3$ (the purple graph) on the same coordinate plane. (refer to the attached image below for the graph) The solution to the given inequality is the set of x-values for which $y_1 \le y_2$. Notice that $y_1$ (the orange graph) is less than or equal to $y_2$ for x values from $2.148$ and above. Thus, the solution to the given inequality is: $[2.15, +\infty)$
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