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: 77

Answer

$\left\{x\ |\ -6 \lt x \lt 0 \right\}$ or $\left(-6,0\right)$
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Work Step by Step

$1 \lt 1-\displaystyle \frac{1}{2}x \lt 4 \qquad$ ... add $-1$ $0 \lt -\displaystyle \frac{1}{2}x \lt 3 \qquad$ ... multiply with $-2 $ (negative) ... the inequalities change direction ... $0 \gt x \gt -6 $ or $-6 \lt x \lt 0$ Solution set: $\left\{x\ |\ -6 \lt x \lt 0 \right\}$ or $\left(-6,0\right)$
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