College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.5 - Solving Inequalities - 1.5 Assess Your Understanding - Page 128: 75

Answer

$\left\{x\ |\ -5.5 \lt x \lt 0.5 \right\}$ or $\left[-5.5,0.5\right]$

Work Step by Step

$-3 \lt \displaystyle \frac{2x-1}{4} \lt 0 \qquad$ ... multiply with 4 $-12 \lt 2x-1 \lt 0 \qquad$ ... add 1 $-11 \lt 2x \lt 1 $... divide with $2$ $-5.5 \lt x \lt 0.5$ Solution set: $\left\{x\ |\ -5.5 \lt x \lt 0.5 \right\}$ or $\left[-5.5,0.5\right]$
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