Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 211: 51


no solution

Work Step by Step

First, we subtract $\frac{3}{4}$ from each side of the equation: $|d + \frac{1}{2}| = 0 - \frac{3}{4}$ Convert all fractions so that they all have the same denominators: $|d + \frac{2}{4}| = -\frac{3}{4}$ Subtract $\frac{2}{4}$ from each side of the equation: $|d| = -\frac{5}{4}$ An absolute value cannot be negative; therefore, this equation has no solution.
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