Which of the following inequalities is always true for any non-negative real numbers numbers 'x' and 'y'?	Choose the most appropriate option.
A) (x-y)^2 >= x^2 + y^2	B) (x+y)^2 <= x^2 + y^2	C) (x+y)^2 = x^2 + y^2	D) (x+y)^2 <= x^2 + y^2	E) (x+y)^2 >= x^2 + y^2
Using the concept of superadditivity, we know that for non-negative real numbers the square of the sum of x and y will always be more than the sums of x and y separately; this is a superadditive function. Therefore the answer is (x+y)^2 &gt;= x^2 + y^2.
<result>E</result>
Which of the following inequalities is always true for any non-negative real numbers numbers 'x' and 'y'?