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: 27

Answer

All real numbers are solutions.

Work Step by Step

The given inequality is $\Rightarrow 9j-6+6j\geq 3(5j-2)$ Use distributive property. $\Rightarrow 15j-6\geq 15j-6$ Add $-15j+6$ to each side. $\Rightarrow 15j-6-15j+6\geq 15j-6-15j+6$ Simplify. $\Rightarrow 0\geq 0$ The inequality is true. Hence, all real numbers are solutions.
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