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


The solution is $(8,\infty)$

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 $(8,\infty)$
Small 1506526423
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.