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 - Page 95: 58

Answer

$\left( -\dfrac{7}{2},\dfrac{5}{2} \right)$

Work Step by Step

Using properties of equality, then, \begin{array}{l} -2\lt\dfrac{-2x-1}{3}\lt2\\\\ -6\lt-2x-1\lt6\\ -5\lt-2x\lt7\\\\ \dfrac{5}{2}\gt x\gt-\dfrac{7}{2}\\\\ -\dfrac{7}{2}\lt x\lt\dfrac{5}{2} .\end{array} In interval notation form, the solution is $ \left( -\dfrac{7}{2},\dfrac{5}{2} \right) $.
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