Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter R - Elementary Algebra Review - R.2 Equations, Inequalities, and Problem Solving - R.2 Exercise Set - Page 947: 48


$\left\{y|y\ge-\dfrac{8}{3} \right\} \text{ or } \left[ -\dfrac{8}{3},\infty \right) $

Work Step by Step

Using the properties of inequality, the given inequality, $ 2-6y\le18 ,$ is equivalent to \begin{array}{l}\require{cancel} -6y\le18-2 \\\\ -6y\le16 \\\\ y\ge\dfrac{16}{-6} \\\\ y\ge-\dfrac{8}{3} .\end{array} Hence, the solution is $ \left\{y|y\ge-\dfrac{8}{3} \right\} \text{ or } \left[ -\dfrac{8}{3},\infty \right) .$
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