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: 78

Answer

$\left\{x\ |\ 0 \lt x \lt 3 \right\}$ or $\left(0,3\right)$

Work Step by Step

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