Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Review Exercises: 40

Answer

$x\ge-3$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given inequality, $ 5-(6-4x)\ge2x-7 ,$ use the properties of inequality. For the interval notation, use a parenthesis for the symbols $\lt$ or $\gt.$ Use a bracket for the symbols $\le$ or $\ge.$ $\bf{\text{Solution Details:}}$ Removing the grouping symbols and using the properties of inequality, the inequality above is equivalent to \begin{array}{l}\require{cancel} 5-6+4x\ge2x-7 \\\\ 4x-2x\ge-7-5+6 \\\\ 2x\ge-6 \\\\ x\ge-\dfrac{6}{2} \\\\ x\ge-3 .\end{array}
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