College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.8 - Solving Absolute Value Equations and Inequalities - 1.8 Exercises: 22

Answer

$x=2$ $x=-\frac{4}{3}$

Work Step by Step

$|x+3|=|2x+1|$ We split the absolute value into two equations, the positive and negative: $x+3=2x+1$ $x-2x=1-3$ $-x=-2$ $x=2$ $x+3=-(2x+1)$ $x+3=-2x-1$ $x+2x=-1-3$ $3x=-4$ $x=-\frac{4}{3}$
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