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 5 - Solving Systems of Linear Equations - Maintaining Mathematical Proficiency - Page 233: 7

Answer

$ a\leq 9$ The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow 2a-5\leq 13$ Add $5$ to each side. $\Rightarrow 2a-5+5\leq 13+5$ Simplify. $\Rightarrow 2a\leq 18$ Divide each side by $2$. $\Rightarrow \frac{2a}{2}\leq \frac{18}{2}$ Simplify. $\Rightarrow a\leq 9$ Hence, the solution is $ a\leq 9$. Use a close circle because $9$ is a solution. Shade the number line on the left side.
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