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: 7

Answer

$(-5,-\frac{1}{3})$

Work Step by Step

$3x^2+16x\lt-5$ Write as an equation. $3x^2+16x+5=0$ Factor by grouping. $(3x+1)(x+5)=0$ Solve as an equation. $x=-5$ $x=-\frac{1}{3}$ 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 $(-5,-\frac{1}{3})$
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.