Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX A - Numbers, Inequalities, and Absolute Values - A Exercises - Page A9: 24

Answer

$3 \lt x \lt 7$ The solution set is $~~(3, 7)$

Work Step by Step

$2x-3 \lt x+4 \lt 3x-2$ $2x-3 \lt x+4~~$ and $~~x+4 \lt 3x-2$ Then: $2x-3 \lt x+4$ $x \lt 7$ and $x+4 \lt 3x-2$ $6 \lt 2x$ $3 \lt x$ Solution: $3 \lt x \lt 7$ The solution set is $~~(3, 7)$
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