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 - 2.5 - Solving Compound Inequalities - Exercises - Page 86: 35

Answer

The solutions are $d=54$ and $d=-54$. The graph is shown below.

Work Step by Step

The given equation is $\Rightarrow |\frac{d}{9}|=6$ Write related linear equations. $\Rightarrow \frac{d}{9}=6$ or $\frac{d}{9}=-6$ Multiply each side by $9$. $\Rightarrow 9\cdot \frac{d}{9}=9\cdot 6$ or $9\cdot \frac{d}{9}=9\cdot (-6)$ Simplify. $\Rightarrow d=54$ or $d=-54$ The solutions are $d=54$ and $d=-54$.
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