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: 46

Answer

$x\gt\dfrac{11}{4}$

Work Step by Step

Using the properties of inequalities, the solution to the given inequality, $ 8x+3\gt25 ,$ is \begin{array}{l}\require{cancel} 8x\gt25-3 \\\\ 8x\gt22 \\\\ x\gt\dfrac{22}{8} \\\\ x\gt\dfrac{\cancel{2}\cdot11}{\cancel{2}\cdot4} \\\\ x\gt\dfrac{11}{4} .\end{array}
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