Algebra 1: Common Core (15th Edition)

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

Chapter 4 - An Introduction to Functions - Get Ready! - Page 231: 19

Answer

The answer is x= 5.5, 1.5

Work Step by Step

To solve this, the steps are following $5|2x-7|=20$ (divide both sides by 5) $|2x-7| = 20/5 $ $|2x-7| = 4$ ** When we open the absolute bars, there are two values of x as the absolute value of a negative number is also positive. 1. $|2x-7| = 4$ 2x-7 = 4 2x = 11 x=5.5 2. $|2x-7| = 4$ -(2x-7) = 4 2x-7 = -4 2x = 3 x = 1.5 Therefore the values of x are 1.5, 5.5.
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