Ratio (related to inequality) Given that X and y are real numbers, M = x ^ 2 + y ^ 2 + 1, n = x + y + XY, then the relation between M and N is

Ratio (related to inequality) Given that X and y are real numbers, M = x ^ 2 + y ^ 2 + 1, n = x + y + XY, then the relation between M and N is

x^2+y^2+1-(x+y+xy)=1/2(2x^2+2y^2+2-2x-2y-2xy)
=1 / 2 [(x-1) ^ + (Y-1) ^ + (X-Y) ^] greater than or equal to 0
So m is greater than or equal to n