Intermediate Algebra (6th Edition)

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

Chapter 2 - Section 2.5 - Compound Inequalities - Exercise Set: 51

Answer

$(\frac{5}{4},\frac{11}{4})$

Work Step by Step

$\frac{1}{2} \lt x - \frac{3}{4} \lt 2$ Using properties of inequalities, $\frac{1}{2} +\frac{3}{4} \lt x - \frac{3}{4} +\frac{3}{4} \lt 2 +\frac{3}{4}$ $\frac{2+3}{4} \lt x \lt \frac{8+3}{4}$ $\frac{5}{4} \lt x \lt \frac{11}{4}$ Interval Notation : $(\frac{5}{4},\frac{11}{4})$
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