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: 33

Answer

$[-2, 5]$

Work Step by Step

Graph $y_1 =x^2$ (the orange graph) and $y_2=3x+10$ (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 $y_2$ from $x=-2$ to $x=5$ Thus, the solution to the given inequality is: $[-2, 5]$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.