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in Linear Equations by (15.7k points)

Solve the given inequalities 5x + 4y ≤ 20, x ≥ 1, y ≥ 2graphically in two – dimensional plane.

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1 Answer

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by (15.2k points)

The graphical representation of 5x + 4y ≤ 20, x ≥ 1, y ≥ 2 is given by common region in the figure below.

5x + 4y ≤ 20 ...... (1)

x ≥ 1 ...... (2)

y ≥ 2 ...... (3)

Inequality (1) represents the region below line 5x + 4y = 20 (including the line 5x + 4y = 20).

Inequality (2) represents the region in front of line x = 1 (including the line x = 1). 

Inequality (3) represents the region above line y = 2 (including the line y = 2). 

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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