solve the following system of inequalities graphically.

2x + y >= 4

x + y <= 3

2x -3y <= 6

x >= 0

y >= 0

Given, 2x + y 4, x + y 3, 2x – 3y ≤ 6,  x ≥ 0, y ≥ 0.

On ploting these on the graph, we get,

 

Thus, the solution of the given system of linear inequalities is represented by the common shaded region, including the points on the respective lines.

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