If x is a positive integer, and two sides of a certain triangle have lengths x and y respectively, where x is greater than y, which of the following could be the length of the third side of the triangle?
I. AB < x + y
II. AB > x - y
III. AB < y - x Choose the correct answer:	A) I only	B) II only	C) I and II only	D) II and III only	E) I, II and III
Let the third side of triangle be AB   Triangle rule states that:   Difference of other 2 sides &lt; any side &lt; sum of other two sides   So x - y &lt; AB &lt; x + y   I. AB &lt; x + y ; could be a possible value.   II. AB &gt; x - y ; could be a possible value.   III. AB &lt; y - x ; could not be a possible value.   Answer: I and II only
<result>C</result>
If x is a positive integer, and two sides of a certain triangle have lengths x and y respectively, where x is greater than y, which of the following could be the length of the third side of the triangle?
I. AB < x + y
II. AB > x - y
III. AB < y - x