Write each of the following sets as intervals:
`{x in R : 1 ge 2 x - 3 ge 0}`

Exhibit graphically the solution set of the following system of inequalities x ge 0, y ge 0 .

Exhibit graphically the solution set of the following system of inequalities 2x+3y le 36 , x ge 3 , y ge 2 .

Solve the following system of inequalities graphically : y ge 2x , x ge 3

Sketch the graph of the solution sets of the following system of inequations : x+y ge 5,2x+3 ge 3y,0le x le 4,0 le y le 2 .

Exhibit graphically the solution set of the following system of inequalities x+4y le 4 , 2x+3y le 6 , x ge 0 , y ge 0 .

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

Solve the following system of inequations : - 4x+1 ge 0, 3-4x <0 .

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

Show graphically, that the solution set of the following system of inequalities is empty: x-2y ge 0 , 2x-yle-2 , x ge 0 and y ge 0 .

Mark the following subsets of set R of real numbers on the number line and write them intervals: {x:x in R, x ge 3}