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: 92

Answer

$t\le-4$

Work Step by Step

Using the Distributive Property and the properties of inequality, the solution to the given inequality, $ 3(t-2)\ge9(t+2) ,$ is \begin{array}{l}\require{cancel} 3(t)+3(-2)\ge9(t)+9(2) \\\\ 3t-6\ge9t+18 \\\\ 3t-9t\ge18+6 \\\\ -6t\ge24 \\\\ t\le\dfrac{24}{-6} \\\\ t\le-4 .\end{array}
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