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: 6

Answer

The correct graph is $D.$

Work Step by Step

The given inequality is $\Rightarrow 3(2-f)\leq 15$ Use distributive property. $\Rightarrow 6-3f\leq 15$ Subtract $6$ from each side. $\Rightarrow 6-3f-6\leq 15-6$ Simplify. $\Rightarrow -3f\leq 9$ Divide each side by $-3$. Reverse the inequality symbol. $\Rightarrow \frac{-3f}{-3}\geq \frac{9}{-3}$ Simplify. $\Rightarrow f\geq -3$ The solution is $ f\geq -3$. Use a close circle because $-3$ is a solution. Shade the number line on the right side. Hence, the correct graph is $D.$
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