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 − 2)
II. z<(x − 1)/(y − 2)
III. z>(x + 1)/(y + 2) Pick one: A) I only B) I and II C) II and III D) II 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 − 2) --&gt; 2/3 &gt; 1/1 --&gt; False   II. z&lt;(x − 1)/(y − 2) --&gt; 2/3 &lt; 1/1 --&gt; True   III. z&gt;(x + 1)/(y + 2) --&gt; 2/3 &gt; 3/5 --&gt; True   Answer: II and III
<result>C</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 − 2)
II. z<(x − 1)/(y − 2)
III. z>(x + 1)/(y + 2)