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 - 2.2 - Solving Inequalities Using Addition or Subtraction - Monitoring Progress - Page 62: 2

Answer

$m\le8$ Refer to the graph below.

Work Step by Step

Add $3$ to each side: $\begin{align*} m-3+3&\le5+3\\ m&\le8 \end{align*}$ Use $0$ as a test number: $\begin{align*} m&\le8\\ 0&\le8 \end{align*}$ The statement above is true so shade the region where $0$ is located. Use an open circle to obtain the graph below.
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