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91Ó°ÊÓ

Graph the linear inequalityy≥52x-4

Short Answer

Expert verified

The graph is as follows,

Step by step solution

01

Step 1. Given information 

We are given an inequality y≥52x-4.

We have to graph the given inequality.

02

Step 2. Identify and graph the boundary line 

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

y=52x-4

Since the inequality sign is greater than or equal to, we will draw a solid line.

03

Step 3. Testing the point (0,0) for the region as the solution

Substitute the origin in the given inequality

y≥52x-40≥52(0)-40≥-4

True.

Hence, shade the region that contains the origin.

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