Draw the diagram of the solution set of the linear constraints : `x + y ge 1, 3x + y le 4, x, y, ge 0`.

Draw the diagram of the solution set of the linear constraints : 3x + 4y le 60, x + 3y le 30, x, y, ge 0 .

Draw the diagram of the solution set of the linear constraints : 3x+4y ge 12,y ge 1,x ge 0 .

Draw the diagram of the solution set of the linear constraints : 2x+3y le 6,x+ 4y le 4,x ge 0,y ge 0 .

Draw the diagram of the solution sets of the following linear constraints : x+y le5, 4x+y ge4, x+5y ge5 , xle4, y le3 .

Draw the diagram of the solution sets of the following linear constraints : x+y ge1, yle5, x le6, 7x+9y le63, x,y ge0 .

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

Verity that the solution set of the following constraints is empty : 3x + 4y ge12, x+ 2y le3, xle3, x ge 0, y ge1 .

Draw the diagram of the solution set of 3x + 4y le 24, -3x + 2y le 6, x ge 0, y ge 0 .

Draw the diagram of the solution set of 4x + 3y le12, 7x + 3y le 21 x ge 0, y ge 0 .

Verify that the solution set of the following linear constraints : x-2y ge 0,2x-y le -2 is not empty and is unbounded.