Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Cumulative Review: 39

Answer

$(-∞,∞)$

Work Step by Step

We are given that $-2x-5\lt-3$ or $6x\lt0$. Therefore, any solutions must only satisfy at least one of the inequalities. We can first solve $-2x-5\lt-3$ Add 5 to both sides. $-2x\lt2$ Divide both sides by -2 (which will reverse the inequality sign) $x\gt-1$ Next, we can solve $6x\lt0$ Divide both sides by 6. $x\lt0$ Therefore, the solution set consists of all numbers that are greater than -1 or less than 0, which is the set of all real numbers.
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.