Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - Review Exercises - Page 154: 94

Answer

Solutions: $x=2$ and $x=-5$

Work Step by Step

$|2x+3|=7$ 1) The value inside the bars is positive: $2x+3=7$ $2x=4$ $x=2$ 2) The value inside the bars is negative: $-(2x+3)=7$ $2x+3=-7$ $2x=-10$ $x=-5$ Testing: - $x=2$: $|2(2)+3|=|7|=7$ - $x=-5$: $|2(-5)+3|=|-7|=7$
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