Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set: 60

Answer

$x\lt\dfrac{26}{5}$

Work Step by Step

Using the Distributive Property and the properties of inequalitiwa, the solution to the given inequality, $ 2(x+3)+3(x-6)\lt14 ,$ is \begin{array}{l}\require{cancel} 2x+6+3x-18\lt14 \\\\ 2x+3x\lt14-6+18 \\\\ 5x\lt26 \\\\ x\lt\dfrac{26}{5} .\end{array}
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