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 3 - Introduction to Graphing - 3.7 Point-Slope Form and Equations of Lines - 3.7 Exercise Set: 91

Answer

$x\lt-\dfrac{17}{3}$

Work Step by Step

Using the properties of inequality, the solution to the given inequality, $ 2(x-7)\gt5x+3 $, is \begin{array}{l}\require{cancel} 2(x)-2(7)\gt5x+3 \\\\ 2x-14\gt5x+3 \\\\ 2x-5x\gt3+14 \\\\ -3x\gt17 \\\\ x\lt\dfrac{17}{-3} \\\\ x\lt-\dfrac{17}{3} .\end{array}
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