Q. 13

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

Answer :

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

.…… (1)

……. (2)

……. (3)

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

Inequality (2) represents the region in front of line (**including** the line ).

Inequality (3) represents the region above line (**including** the line ).

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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