If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 1)
II. z>(x − 1)/(y − 1)
III. z>(x + 1)/(y - 1)	Options: A) II only B) I and II C) II and III D) I only E) I and III
x &lt; y --&gt; Let x = 2 and y = 3 --&gt; z = 2/3   I. z&gt;(x − 1)/(y − 1) --&gt; 2/3 &gt; 1/2 --&gt; True   II. z&gt;(x − 1)/(y − 1) --&gt; 2/3 &gt; 1/2 --&gt; True   III. z&gt;(x + 1)/(y - 1) --&gt; 2/3 &gt; 3/2 --&gt; False   Answer: I and II
<result>B</result>
If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 1)
II. z>(x − 1)/(y − 1)
III. z>(x + 1)/(y - 1)