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 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set: 76

Answer

$y\gt-\dfrac{1}{2}$

Work Step by Step

Remember, when we divide by a negative number, we flip the sign of the inequality. Using the properties of inequality, the solution to the given inequality, $ 8-2y\gt9 ,$ is \begin{array}{l}\require{cancel} -2y\gt9-8 \\\\ -2y\gt1 \\\\ y\lt\dfrac{1}{-2} \\\\ y\lt-\dfrac{1}{2} .\end{array}
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