If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. x+ y > z
III. yz > xz
IV. xy > y + z  Choose the correct choice from the following answers:
A) I only
B) II only
C) II and III only
D) II and IV only
E) III and IV only
lets see the choices..   I. x &gt; z...   we do not know the values or the relative values ... need not be true..   II. x+ y &gt; z   we take the worst case that z is the largest and x and y are lowest possible..... so 2+3&gt;4.. 5&gt;4.. always true   III. yz &gt; xz   we do not know the values or the relative values between x and y.. need not be true   IV. xy &gt; y + z   xy-y&gt;z or y(x-1)&gt;z...   again lets take the worst scenario..   we take the worst case that z is the largest and x and y are lowest possible..... so (2-1)3&gt;4.. 3&gt;4.. not true   only ii is true   ANSWER:II only
<result>B</result>
If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. x+ y > z
III. yz > xz
IV. xy > y + z