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Solve the given inequality x + y ≥ 4 graphically in two – dimensional plane.

Solve the given inequality x – y ≤ 3 graphically in two – dimensional plane.

Solve the given inequality y – 2 ≤ 3x graphically in two – dimensional plane.

Solve the given inequality x ≥ y – 2 graphically in two – dimensional plane.

Solve the given inequality 3x + 2y > 6 graphically in two – dimensional plane.

Solve the given inequality 3x + 5y < 15 graphically in two – dimensional plane.

Solve the given inequalities x ≥ 2y, y ≥ 3 graphically in two – dimensional plane.

Solve the given inequalities 3x + 2y ≤ 12, x ≤ 1, y ≥ 2 graphically in two – dimensional plane.

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

Solve the given inequalities 2x + y ≥ 6, 3x + 4y ≤ 12 graphically in two – dimensional plane.

Solve the given inequalities x + y ≤ 9, y < x, x ≥ 0 graphically in two – dimensional plane.

Solve the given inequalities 2x – y > 1, x – 2y < 1 graphically in two – dimensional plane.

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

Solve the given inequalities 3x + 4y ≤ 60, x + 3y ≤ 30, x ≥ 0, y ≥ 0 graphically in two – dimensional plane.

Solve the given inequalities 2x + y ≥ 4, x + y ≤ 3, 2x – 3y ≤ 6 graphically in two – dimensional plane.

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

Solve the given inequalities 4x + 3y ≤ 60, y ≥ 2x, x ≥ 3, x ≥ 0, y ≥ 0 graphically in two – dimensional plane.

Solve the given inequalities x – 2y ≤ 2, x + y ≥ 3, –2x + y ≤ 4, x ≥ 0, y ≥ 0 graphically in two – dimensional plane.

Solve the given inequalities x + 2y ≤ 100, 2x + y ≤ 120, x + y ≤ 70, x ≥ 0, y ≥ 0 graphically in two – dimensional plane.

Solve the given inequalities x + 2y ≤ 2000, x + y ≤ 1500, y ≤ 600, x ≥ 0, y ≥ 0 graphically in two – dimensional plane.

Solve the given inequalities 3x + 2y ≥ 24, 3x + y ≤ 15, x ≥ 4, graphically in two – dimensional plane.

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

Solve the given inequalities 3x + y ≥ 12, x + y ≥ 9, x ≥ 0, y ≥ 0. graphically in two – dimensional plane.

Find the linear inequalities for which the shaded area is the solution set in the figure given below.

A furniture dealer deals in only two items : tables and chairs. He has 30000 to invest and a space to store at most 60 pieces. A table costs him 1500 and a chair 300. Formulate the data in the form of inequations and draw a graph representing the solution of these inequation.

If a young man rides his motorcycle at 40 km per hour, he has to spend 6 per km on petrol and if he rides it at 50 km hour, the petrol cost rises to 10 per km. He has 500 to spend on petrol and wishes to find the maximum distance he can travel within one hour. Formulate the data in the form of inequation and draw a graph representing the solution of these inequations.