## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 3 - Section 3.6 - Graphing Linear Inequalities in Two Variables - Exercise Set: 28

#### Answer

Refer to the image below for the graph.

#### Work Step by Step

To graph the given inequality, perform the following steps: (1) Graph the boundary line $y=0$ using a solid line since it involves $\le$. (refer to the image below for the graph) (2) Use the test point $(0, 1)$. Substitute the x and y values of this point into the given inequality to obtain: \begin{array}{ccc} \\&y&\le &0 \\&1 &\le &0 \end{array} The statement is false. (3) The resulting statement in step (2) is false. This means that the solution set is the region that does not contain the test point $(0, 1)$. To complete the graph, shade the region that does not contain $(0, 1)$. (refer to the attached image in the answer part above for the graph)

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.