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 94: 49


$\text{the interval } \left[ \dfrac{3}{2},6 \right]$

Work Step by Step

Using properties of inequality, then, \begin{array}{l} 0\le2x-3\le9\\ 0+3\le2x-3+3\le9+3\\ 3\le2x\le12\\ \dfrac{3}{2}\le x\le6 .\end{array} In interval notation, the solution is $ \text{the interval } \left[ \dfrac{3}{2},6 \right]. $
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