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 - Monitoring Progress - Page 75: 7

Answer

No solution.

Work Step by Step

The given inequality is $\Rightarrow -4(3n-1)\gt -12n+5.2$ Use distributive property. $\Rightarrow -12n+4\gt -12n+5.2$ Subtract $4$ from each side. $\Rightarrow -12n+4-4\gt -12n+5.2-4$ Simplify. $\Rightarrow -12n\gt -12n+1.2$ Add $12n$ to each side. $\Rightarrow -12n+12n\gt -12n+1.2+12n$ Simplify. $\Rightarrow 0\gt 1.2$ The inequality is false. Hence, there is no solution.
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