`x-y le 2`

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Solve the following system of linear inequalities graphically. x+y ge 5" "…(1) x-y le 3" "…(2)

The region formed by the inequalities 2x+3y-5 le 0, 4x-3y+2 le 0" and " x ge 0 ………

The point at which the maximum value of Z = 3x + 2y subject to the constraints x+2y le 2, x ge 0, y ge 0 is ……….

x+2y le 10, x+y ge 1, x-y le 0, x ge0, y ge0

3x+2y le 12, x ge 1, y ge 2

The solution set of the constraints x+2y le 2000, x+y le 1500, y le 600" and "x ge 0 does not include the point ……….

x-2y le 3, 3x+4y ge 12, x ge 0, y ge 1

Solve the following linear programming problems graphically : Maximise : Z = 10x + 6y subject to constraints 3x+y le 12, 2x+5y le 34, x, y ge 0

The region represented by the inequation x-y le -1, x-y le 0, x le 0, y le 0 is …………….

Find the maximum value of Z = x + y, subject to the constraints x-y le -1, -x+y le 0, x, y ge 0 .