2) While the answer I'd expect is Correct, there is a case there no x exist, in which case no z are x.My post seems to have been lost in the woodwork so reposting
7) As you've stated the question the answer is Correct, obviously disagreeing, are you sure you've copied it correctly?
8) The answer is Correct, some of Y are not Z, the fact that all of Y are not Z is irrelevant, you are only being asked whether some are, All is a subset of some.