Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - Get Ready - Page 231: 17



Work Step by Step

To solve absolute value equations, one must isolate what is in the absolute value. $-3|d-5|=-6$ $\frac{-1}{3}(-3|d-5|)=\frac{-1}{3}(-6)$ $|d-5|=2$ Then create two equations, one where the left side equals the positive of the right, and one where it equals the negative. $d-5=2$ $(d-5)+5=(2)+5$ $d=7$ $d-5=-2$ $(d-5)+5=(-2)+5$ $d=3$ As shown, the two equations create 3 and 7. Therefore, the solution is $x={3,7}$.
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