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: 21

Answer

All real numbers are solutions. The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow 8g-5g-4\leq -3+3g$ Add like terms. $\Rightarrow 3g-4\leq -3+3g$ Add $4$ to each side. $\Rightarrow 3g-4+4\leq -3+3g+4$ Simplify. $\Rightarrow 3g\leq 1+3g$ Subtract $3g$ from each side. $\Rightarrow 3g-3g\leq 1+3g-3g$ Simplify. $\Rightarrow 0\leq 1$ The inequality is true. Hence, all real numbers are solutions.
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