Algebra 2 (1st Edition)

by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee

Published by McDougal Littell

ISBN 10: 0618595414

ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.9 Graph and Solve Quadratic Inequalities - 4.9 Exercises - Skill Practice - Page 304: 28

Answer

$-5 \leq x \leq 2$

Work Step by Step

Given $x^2 +3x \leq 10$. Rewrite as: $x^2+3x -10 \leq 0$. Then make a table of values: Notice that $x^2 +3x \leq 10$ when $-5 \leq x \leq 2$. The solution of the inequality is $-5 \leq x \leq 2$.

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