Answer
$x=1/2~or~x=-1/2$.
Work Step by Step
Using the definition of the absolute value, we have
$$
4-|2x|=3\Longrightarrow |2x|=4-3=1 \Longrightarrow 2x=1~or~ 2x=-1
.$$
Thus, we have the two possible solutions:
$x=1/2~or~x=-1/2$.
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: 25
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
