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 - Page 195: 19


Interval Notation: $(-\infty, 4)$ Refer to the image below for the graph.

Work Step by Step

The solution set of the given inequality includes all the numbers that are less than $4$. The set includes all the numbers to the left of $4$ so $-\infty$ will be used on the left side of the interval notation. $4$ 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: $(-\infty, 4)$. To graph the solution set on a number line, plot a hole (or hollow dot) at $x=4$ then shade the region to its left. (refer to the attached image in the answer part above)
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