1.

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

Answer»

Solution :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 represents2x-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 `


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