Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4: 48

Answer

$x\gt\dfrac{5}{3}$

Work Step by Step

Using the properties of inequalities, the solution to the given inequality, $ 7\lt6x-3 ,$ is \begin{array}{l}\require{cancel} 7+3\lt6x \\\\ 10\lt6x \\\\ \dfrac{10}{6}\lt x \\\\ \dfrac{\cancel{2}\cdot5}{\cancel{2}\cdot3}\lt x \\\\ \dfrac{5}{3}\lt x \\\\ x\gt\dfrac{5}{3} .\end{array}
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