Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.8 Absolute Value Equations and Inequalities - 1.8 Exercises - Page 167: 24

Answer

The equation cannot have a negative solution because an absolute value equation will never be equal to a negative number.

Work Step by Step

$|5x-6|=3x$ A negative value of $x$ will make the right side of the equation negative. This means the equation will never be true because an absolute value expression will never produce a negative number.
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