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: 55

Answer

$\left(-\infty,-\dfrac{56}{5}\right)$

Work Step by Step

Solving the inequalities separately, then \begin{array}{l}\require{cancel} 3x\ge5 \\\\ x\ge\dfrac{5}{3} ,\\\\\text{OR}\\\\ -\dfrac{5}{8}x-6\gt1 \\\\ -\dfrac{5}{8}x\gt1+6 \\\\ -\dfrac{5}{8}x\gt7 \\\\ \left(-\dfrac{8}{5}\right)\left(-\dfrac{5}{8}x\right)\lt7\left(-\dfrac{8}{5}\right) \\\\ x\lt-\dfrac{56}{5} .\end{array} Hence, the solution set is $ \left(-\infty,-\dfrac{56}{5}\right) .$
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