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 - Chapter Review - Page 95: 19

Answer

No solution. The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow 6(2t+9) \leq 12t-1$ Use distributive property. $\Rightarrow 12t+54 \leq 12t-1$ Add $1$ to each side. $\Rightarrow 12t+54 +1\leq 12t-1+1$ Simplify. $\Rightarrow 12t+55\leq 12t$ Subtract $12t$ from each side. $\Rightarrow 12t+55-12t\leq 12t-12t$ Simplify. $\Rightarrow 55\leq 0$ The inequality is false. Hence, the inequality has no solution.
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