College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.7 - Page 196: 44

Answer

The solution is $(8,\infty)$
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Work Step by Step

$7-\dfrac{4}{5}x\lt\dfrac{3}{5}$ Multiply the whole inequality by $5$: $5\Big(7-\dfrac{4}{5}x\lt\dfrac{3}{5}\Big)$ $35-4x\lt3$ Take $4x$ to the right side and $3$ to the left side: $35-3\lt4x$ Rearrange and simplify: $4x\gt35-3$ $4x\gt32$ Take the $4$ to divide the right side: $x\gt\dfrac{32}{4}$ $x\gt8$ Express the solution using interval notation: The solution is $(8,\infty)$
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