Verify that the solution set of the following is empty : `x-2yge0,2x-yle-2,xge0,yge0`

Draw the diagrams of the solutions sets of the following linear constraints: 3x+2yle14, 3x+yle9, x,yge0

Draw the diagram of the solution sets of the following linear constraints : 2x+y-3 ge0, x-2y+1 le0, x ge0, yge0 .

Draw the graph of the following LPP: 5x+2yle10, xge0,yge0 .

Exhibit graphically the solution set of the following system of inequalities x+yge1 , xle5 , yle4 , 2x+3yle12 , x ge0 , y ge0 .

Draw the graph of the following LPP: 3x+yle17, xge0,yge0 .

Minimise and maximize Z=5x+2y subject to the following constraints: x-2yle2, 3x+2yle12, -3x+2yle3, xge0, yge0 .

Give the graphical solution of the following system of inequalities: 2x+yle24 , x+yle11 , 2x+5yle40 , x,yge0 .

The region represented by the inequalitites xge6, yge2, 2x+yle10, xge0, yge0 is

Solve the following systems of inequations graphically : x+2y le 8, 2x+y le8, x ge0, yge0 .

Solve the following systems of inequations graphically : x+3y le 12, 3x+yle12, x ge0, yge0 .