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: 6

Answer

$ x\geq 25$ The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow \frac{x}{-5}\leq -5$ Multiply each side by $-5$. Reverse the inequality symbol. $\Rightarrow -5\cdot (\frac{x}{-5})\geq -5\cdot (-5)$ Simplify. $\Rightarrow x\geq 25$ Hence, the solution is $ x\geq 25$. Use a close circle because $25$ is a solution. Shade the number line on the right side.
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