Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Cumulative Review - Page 252: 19

Answer

$-3 \lt x \lt 2$ Graphing this inequality gives:

Work Step by Step

Subtract 4 to each part to have: $\\\\2-4 \lt 4-x-4 \lt 7-4 \\\\-2 \lt -x \lt 3$ $\\\\\\$Multiply $-1$ to each part (note that this will flip the inequality symbol) to have: $\\\\-2(-1) \gt -x(-1) \gt 3(-1) \\\\2 \gt x \gt -3 \\\\-3 \lt x \lt 2$
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