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 3 - Graphing Linear Functions - 3.7 - Graphing Absolute Value Functions - Exercises - Page 162: 65

Answer

No solution. The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow -3(2p+4)\gt -6p-5$ Use distributive property. $\Rightarrow -6p-12\gt -6p-5$ Add $12$ to each side. $\Rightarrow -6p-12+12\gt -6p-5+12$ Simplify. $\Rightarrow -6p\gt -6p+7$ Add $6p$ to each side. $\Rightarrow -6p+6p\gt -6p+7+6p$ Simplify. $\Rightarrow 0\gt 7$ False. Hence, the inequality has no solution.
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