Q. 16

# Solve the given inequalities x + 2y ≤ 10, x + y ≥ 1, x – y ≤ 0, x ≥ 0, y ≥ 0, graphically in two – dimensional plane.

Answer :

The graphical representation of

is given by common region in the figure below.

.…… (1)

……. (2)

……. (3)

……. (4)

……. (5)

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

Inequality (2) represents the region above line (**including** the line ).

Inequality (3) represents the region in front of line (**including** the line ).

Inequality (4) represents the region above line (**including** the line ).

Inequality (5) 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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