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Chapter 4: Q. 146 (page 553)

Graph the linear inequality 2x-y>3.

Short Answer

Expert verified

The graph of the inequality 2x-y>3is:

Step by step solution

01

Step 1. Given information

We have been given an inequality 2x-y>3.

We have to graph this inequality.

02

Step 2. Identify and graph the boundary line 

Replace the inequality sign with an equal sign to find the boundary line.

2x-y=3

Since the inequality sign is >, we will draw a dashed line.

03

Step 3. Test the origin (0,0) for the region as the solution 

Substitute the origin in the given inequality

2x-y>32(0)-0>?30鈮�3

Therefore, shade the region that does not contain the origin.

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