Answer
$x=-1~or~x=1$.
Work Step by Step
Using the definition of the absolute value, we have
$$
|-x|=1\Longrightarrow -x=1~or~ -x=-1
.$$
Thus, we have the two possible solutions:
$x=-1~or~x=1$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 2 - Linear and Quadratic Functions - Section 2.8 Equations and Inequalities Involving the Absolute Value Function - 2.8 Assess Your Understanding - Page 182: 24
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