Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.6 - Absolute Value Equations - Exercise Set - Page 101: 82

Answer

Absolute value equations of the form $|x-a|=0$ will have only one solution because only one number will make $x-a=0$.

Work Step by Step

Absolute value equations of the form $|x-a| = 0, \gt 0$ have one solution. This is because only one number will satisfy the equation, that is, the number that will make $x+a$ equal to zero. For example, The equation $|x-2|=0$ has one solution only because only $x=2$ will make $x-2=0$
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