Q. 54.0( 14 Votes )

Solve the followi

Answer :

Given 2x – y >1………………1


Putting value of x = 0 and y = 0 in equation one by one, we get value of


y = -1 and x = 1/2 = 0.5


The points are (0,-1) and (0.5 , 0)


Checking for the origin, putting (0,0)


0 >1 , which is false


Hence the origin does not lie in the solution region. The required region would be on the right of the line`s graph.


x – 2y < – 1…………2


Putting value of x = 0 and y = 0 in equation one by one, we get value of


y = 1/2 = 0.5 and x = -1


The required points are (0, 0.5) and (-1, 0)


Now checking for the origin, (0,0)


0 < -1 which is false


Hence the origin does not lies in the solution area, the required area would be on the left side of the line`s graph.


the shaded area is the required solution of the given inequalities.



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