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: 90c

Answer

An absolute value equation of the form $|ax+b|=c$ will have two solutions when $\color{blue}c \color{blue}\gt \color{blue}0$.

Work Step by Step

An absolute value equation of the form $|ax+b|=c$ will have two solutions when $c\gt 0$. For example: $|2x+2|= 1$ has two solutions because: $\\2x+2=1 \text{ or } 2x+2=-1 \\2x =1-2 \text{ or } 2x=-1-2 \\2x = -1 \text{ or }2x = -3 \\x=-\frac{1}{2} \text{ or } x=-\frac{3}{2}$
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