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Graph the linear inequality y>-3x.

Short Answer

Expert verified

The graph of the inequality y>-3xis:

Step by step solution

01

Step 1. Given information

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

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.

y=-3x

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

03

Step 3. Test the origin ( 1, 1 ) for the region as the solution 

Substitute ( 1, 1) in the given inequality

y>-3x1>?-3(1)1>-3

Therefore, shade the region that contains the point ( 1, 1).

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