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Solve the given inequalities x + y ≤ 6, x + y ≥ 4graphically in two – dimensional plane.

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1 Answer

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The graphical representation of is given by common region in the figure below.

x + y ≤ 6 ...... (1)

x + y ≥ 4 ...... (2)

Inequality (1) represents the region below line (including the line ). 

Inequality (2) represents the region above line (including the line x + y =4). 

Therefore, every point in the common shaded region including the points on the respective lines represents the solution for the given inequalities. 

This can be represented as follows,

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