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: 75

Answer

$y\lt-\dfrac{10}{3}$

Work Step by Step

Using the properties of inequality, the solution to the given inequality, $ 5-6y\gt25 ,$ is \begin{array}{l}\require{cancel} -6y\gt25-5 \\\\ -6y\gt20 \\\\ y\lt\dfrac{20}{-6} \\\\ y\lt\dfrac{\cancel{2}\cdot10}{\cancel{2}\cdot(-3)} \\\\ y\lt\dfrac{10}{-3} \\\\ y\lt-\dfrac{10}{3} .\end{array}
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