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: 15


Interval Notation: $(\frac{5}{2}, \infty)$ 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 greater than $\frac{5}{2}$. The set includes all the numbers to the right of $\frac{5}{2}$ so $+\infty$ will be used on the right side of the interval notation. $\frac{5}{2} \text{ or } 2.5$ is not included in the set so a parenthesis will be used on the left side of the interval. Thus, the interval notation equivalent of the given inequality is: $(\frac{5}{2}, \infty)$ To graph the solution set on a number line, plot a hole (or hollow dot) at $x=\frac{5}{2}$ then shade the region to its right. (refer to the attached image in the answer part above)
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