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 - Page 136: 87


$\left(-\infty,14 \right)$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $ 3\lt5-\dfrac{t}{7} .$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given is equivalent to \begin{array}{l}\require{cancel} 3\lt5-\dfrac{t}{7} \\\\ 7(3)\lt7\left( 5-\dfrac{t}{7} \right) \\\\ 21\lt35-t \\\\ t\lt35-21 \\\\ t\lt14 .\end{array} Hence, the solution set is $ \left(-\infty,14 \right) .$
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