Draw the graph of the solution set of the inequation `2x -y ge 1`

Explanation

Consider the equation `,2x -y=1`
The values of (x,y) satisfiying 2x -y =1are :

Take a graph paper and plot the points A(2,3) and B (0,-1)
Then line AB represents 2x-y=1
This line divides the plane of the paper in two equal parts.
Clearly , the points (0,0) does not lie on 2x-y=1
Also (0,0) does not satisfy `2x -y ge 1 ` ltbr gt So, we shade that part of the plane divided by line AB which does not contain (0,0) as shown below .
The shaded part of the plane togther with all points on the line AB condtitutes the solutions set of the inequation `2x-y le 1 `