Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.4 - Nonlinear Inequalities in One Variable - Exercise Set: 8

Answer

$(-1,\frac{7}{2})$

Work Step by Step

$2x^2-5x\lt7$ Write as an equation. $2x^2-5x-7=0$ Factor by grouping. $(x+1)(2x-7)=0$ Solve as an equation. $x=-1$ $x=\frac{7}{2}$ Plot these numbers on a number line,split them into intervals, take one test point from each interval, and check them to see if they are true. If they are true, then it is a solution. In this case, it is $(-1,\frac{7}{2})$
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.