Which of the following inequalities is always true for any non-negative real number 'x' and 'y'? Choose the correct answer.
A) √(x+y) <= √x + √y	B) √(x-y) <= √x - √y	C) √(x+y) = √x + √y	D) √(x-y) >= √x - √y	E) √(x+y) >= √x + √y
Using the principle of subadditivity which we know applies with square roots, we know that evaluating the function for the sum of two elements will always produce something less than or equal to the sum of the function's values at each element. Therefore, the answer is √(x+y) &lt;= √x + √y.
<result>A</result>
Which of the following inequalities is always true for any non-negative real number 'x' and 'y'?