Question

Represent to solution set of each of the following in equations graphically in two dimensional plane :

$x-2y<0$

Answer 1

We have,

$x-2y<0$

Converting the in equation into equation,we obtain,$x-2y<0$

To determine the region represented by the given inequality consider the point (0,0)

Putting x=0 and y=0 inequation we have 0<0

It is not possible.Clearly (0,0) does not satisfy the inequality.

So,the region represented by the given in equation is the shaded region shown below: