Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.7 - Solving Linear Inequalities - Exercise Set: 20

Answer

Interval Notation: $(-\infty, 5)$ Refer to the image below for the graph.
1503212245

Work Step by Step

The solution set of the given inequality includes all the numbers that are less than $5$. The set includes all the numbers to the left of $5$ so $-\infty$ will be used on the left side of the interval notation. $5$ serves as a boundary though it is not part of the solution set. Thus, a parenthesis will be used on the right side of the interval. Thus, the interval notation equivalent of the given inequality is: $(-\infty, 5)$. To graph the solution set on a number line, plot a hole (or hollow dot) at $x=5$ then shade the region to its left. (refer to the attached image in the answer part above)
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.