Unfortunately there are no parentheses and without them the statement is ambiguous If it is to be taken this way: It is not the case that (Jim plays football and Michael does not play basketball) then the answer is ~(p /\ ~q) choice D. However if it is to be taken this way: (It is not the case that Jim plays football) and Michael does not play basketball then it would be ~p /\ ~q choice B But I would guess it would be D because if he had meant B it would have been worded this way: Jim does not play football and Michael does not play basketball. So I would go with D. But there is no reason to assume that "it is not the case that" applies to the conjunction and not just to the first statement only. You might point out this ambiguity to your teacher. Edwin