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: 6

Answer

$\le$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $ -7t\ge56 .$ Use the resulting solution to complete the relationship of $ t \text{ and } -8 .$ $\bf{\text{Solution Details:}}$ Dividing both sides by a negative number (and consequently reversing the inequality symbol) \begin{array}{l}\require{cancel} -7t\ge56 \\\\ \dfrac{-7t}{-7}\ge\dfrac{56}{-7} \\\\ t\le-8 .\end{array} Hence, the symbol that completes the relationship of $ t $ and $ -8 $ is $" \le ".$
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