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: 47

Answer

$x\lt\dfrac{5}{4}$

Work Step by Step

Using the properties of inequalities, the solution to the given inequality, $ 3\gt4x-2 ,$ is \begin{array}{l}\require{cancel} 3+2\gt4x \\\\ 5\gt4x \\\\ \dfrac{5}{4}\gt x \\\\ x\lt\dfrac{5}{4} .\end{array}
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