If (a-3)(b-2) =0, which of the following must be true ?
I. a=3 and b=2
II. if a is not = 3, then b=2
III. if a=3, then b is not=2
Choose the correct choice from the following answers:	A) I only	B) II only	C) III only	D) I and II	E) II and III
(a-3)(b-2)=0   So either a=3 or b=2 or both. It is 'or' not 'and', so it could be any of the three possibilities. Thus I and III are not necessarily true.   The answer is II only.
<result>B</result>
If (a-3)(b-2) =0, which of the following must be true ?
I. a=3 and b=2
II. if a is not = 3, then b=2
III. if a=3, then b is not=2