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Chapter 4: Q. 145 (page 553)

Graph the linear inequality 2x-3y鈮�6.

Short Answer

Expert verified

The graph of the inequality 2x-3y鈮�6is:

Step by step solution

01

Step 1. Given information

We have been given an inequality 2x-3y鈮�6.

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-3y=6

Since the inequality sign is 鈮�, we will draw a solid line.

03

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

Substitute the origin in the given inequality

2x-3y鈮�62(0)-3(0)鈮�?60鈮�6

Therefore, shade the region that contains the origin.

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