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 - Connecting: The Concepts - Exercises - Page 134: 9


$a\ge 0$

Work Step by Step

Using the properties of inequality, the solution to the given inequality, $ 10\ge-2(a-5) $, is \begin{array}{l}\require{cancel} 10\ge-2(a)-2(-5) \\\\ 10\ge-2a+10 \\\\ 10-10\ge-2a \\\\ 0\ge-2a \\\\ \dfrac{0}{-2}\le a \\\\ 0\le a \\\\ a\ge 0 .\end{array}
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