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

Verify that the solution set of the following constraints is empty : 3x + 4y ge 12, x + 2y le 3, x ge 0, y ge 1 .

Show that the solution set of the following linear inequations is empty set: x-2y>=0,2x-y =0,y>=0

Show that the solution set of the following system of linear inequalities is an unbounded region 2x+y ge 8, x+2y ge 10, x ge 0, y ge 0 .

Show that the solution set of the following linear in equations is an unbounded set: x+y>=9,3x+y>=12,x>=0,y>=0

Show that the solution set of the following linear inequations is empty set: x+2y,quad =12,y>=1,x>=0,y>=0

Draw the diagrams of the solution sets of the following (3 - 6) linear constraints: 3x+ 2y le 8, 3x + 2y le 12, x, y ge 0

Shade the regions that show the solution set of the following inequations : (a) x gt 3 (b) y lt 2 (c) 2y le 5 (d) x ge 0, y ge 0 (e) x ge 4, y le 4

Show that the solution set of the following system of linear inequalities in an unbounded region 2x+y>=8,x+2y>=10,x>=0,y>=0

Draw the diagrams of the solution sets of the following linear constraints: 2x+y-3ge0,x-2y+1le0,xge0,yge0 .