Intermediate Algebra (6th Edition)

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

Chapter 2 - Review - Page 112: 63

Answer

$\text{the interval } \left( \dfrac{11}{3},\infty \right) $

Work Step by Step

Using compound inequalities, the solution to the given inequality, $ 3x-5\gt6 \text{ or } -x\lt-5 ,$ is \begin{array}{l}\require{cancel} 3x-5\gt6 \\\\ 3x\gt6+5 \\\\ 3x\gt11 \\\\ x\gt\dfrac{11}{3} ,\\\\\text{ OR }\\\\ -x\lt-5 \\\\ x\gt5 .\end{array} Combining the two inequalities, in interval notation, the solution is $ \text{the interval } \left( \dfrac{11}{3},\infty \right) .$
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