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: 45

Answer

$x\lt\dfrac{8}{3}$

Work Step by Step

Using the properties of inequality, the solution to the given inequality, $ 6x+2\lt18 ,$ is \begin{array}{l}\require{cancel} 6x\lt18-2 \\\\ 6x\lt16 \\\\ x\lt\dfrac{16}{6} \\\\ x\lt\dfrac{\cancel{2}\cdot8}{\cancel{2}\cdot3} \\\\ x\lt\dfrac{8}{3} .\end{array}
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