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 - 2.6 - Solving Absolute Value Inequalities - Exercises - Page 91: 5

Answer

$d\lt -12$ or $d\gt -6$ The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow |d+9|\gt3$ Write a compound inequality. $\Rightarrow d+9\lt -3$ or $d+9\gt 3$ Subtract $9$ from each side. $\Rightarrow d+9-9\lt -3-9$ or $d+9-9\gt 3-9$ Simplify. $\Rightarrow d\lt -12$ or $d\gt -6$ Hence, the solution is $d\lt -12$ or $d\gt -6$.
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