If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. y-x is even
II. (z-x)/y is an integer
III. xz is even	Choose the correct choice from the following answers
A) I only B) II only C) III only D) I and II only E) I, II, and III
consecutive odds are:   2x+1, 2x+3, 2x+5   I. (2x+3)-(2x+1) = 2, so divisible by 2 and even - TRUE   II. ((2x+5)-(2x+1))/(2x+3)=4/(2x+3)=4/(odd number)= Not an integer - NOT TRUE   III. (2x+1)*(2x+5)=4x^2+10x+2x+5=4x^2+12x+5=(2x(x+6)+5)/2 is not integer, so NOT TRUE   I onlyNSWER: I only
<result>A</result>
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. y-x is even
II. (z-x)/y is an integer
III. xz is even