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 - 2.4 - Solving Multi-Step Inequalities - Exercises - Page 77: 18

Answer

No solution. The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow 8n+2\leq 8n-9$ Add $9$ to each side. $\Rightarrow 8n+2+9\leq 8n-9+9$ Simplify. $\Rightarrow 8n+11\leq 8n$ Subtract $8n$ from each side. $\Rightarrow 8n+11-8n\leq 8n-8n$ Simplify. $\Rightarrow 11\leq 0$ The inequality is false. Hence, there is no solution.
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