Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 2 - Solving Linear Inequalities - 2.5 - Solving Compound Inequalities - Exercises - Page 85: 14

Answer

$-8\lt r \leq 3$ The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow 24\gt -3r \geq -9$ Divide each expression by $-3$. Reverse the inequality symbol. $\Rightarrow \frac{24}{-3}\lt \frac{-3r}{-3} \leq \frac{-9}{-3}$ Simplify. $\Rightarrow -8\lt r \leq 3$ Hence, the solution is $-8\lt r \leq 3$.
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.