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

Published by Pearson

# Chapter 3 - Section 3.6 - Graphing Linear Inequalities in Two Variables - Exercise Set: 9

#### 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 $2x-y=-4$ using dashed line since it involves $\gt$. (refer to the image below for the graph) (2) Use the test point $(0, 0)$. Substitute the x and y values of this point into the given inequality to obtain: $2x-y \gt -4 \\2(0) - 0 \gt -4 \\0 \gt -4$ The statement is true. (3) The resulting statement in step (2) is true. This means that the solution set is the region that contains the test point $(0, 0)$. To complete the graph, shade the region that contains $(0, 0)$. (refer to the attached image in the answer part above for the graph)

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