Intermediate Algebra (6th Edition)

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

Chapter 3 - Cumulative Review: 28

Answer

$(0,8)$

Work Step by Step

We are given that $x-2\lt6$ and $3x+1\gt1$. Therefore, any solution for x must satisfy both inequalities. We can first solve $x-2\lt6$ for x. Add 2 to both sides. $x\lt8$ Next, we can solve $3x+1\gt1$ for x. Subtract 1 from both sides. $3x\gt0$ Divide both sides by 3. $x\gt0$ Therefore, the solution set consists of all values of x that are greater than 0 and less than 8.
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.