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 - 2.3 - Solving Inequalities Using Multiplication or Division - Monitoring Progress - Page 69: 9

Answer

$r\leq 11$ The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow -2r\geq -22$ Divide each side by $-2$. Reverse the inequality symbol. $\Rightarrow \frac{-2r}{-2}\leq \frac{-22}{-2}$ Simplify. $\Rightarrow r\leq 11$ Hence, the solution is $r\leq 11$. Use a close circle because $11$ is a solution. Shade the number line on the left side.
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