Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1-2 - Cumulative Review: 35

Answer

$a\ge\dfrac{115}{57}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given inequality, $ -1.4a+2.34a+6.1\ge-0.2a+8.4 ,$ use the properties of inequality to isolate the variable. $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given is equivalent to \begin{array}{l}\require{cancel} -1.4a+2.34a+6.1\ge-0.2a+8.4 \\\\ -1.4a+2.34a+0.2a\ge8.4-6.1 \\\\ 1.14a\ge2.3 \\\\ 100(1.14a)\ge100(2.3) \\\\ 114a\ge230 \\\\ a\ge\dfrac{230}{114} \\\\ a\ge\dfrac{\cancel{2}(115)}{\cancel{2}(57)} \\\\ a\ge\dfrac{115}{57} .\end{array}
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