x and y are positive integers of J. If 1/x + 1/y < 2, which of the following must be true? Choose the correct choice from the following answers
A) x + y > 4	B) xy>1	C) x/y + y/x < 1	D) (x - y)^2 > 0	E) None of the above
Answer is B:   1/X + 1/Y &lt; 2   The maximum value of 1/X is 1 because if X equals any other number greater than one it will be a fraction. The same is true with 1/Y.   So 1/X and 1/Y will always be less than 2 as long as both X and Y are not both equal to one at the same time.   Another way of putting it is:   X*Y&gt;1.xy&gt;1
<result>B</result>
x and y are positive integers of J. If 1/x + 1/y < 2, which of the following must be true?