It is plainly true of any complex number z that either or . Identify the set of z for which the minus set represents the proper choice. I believe the answer is the set of imaginary numbers, but am not sure. ?
I took the question to mean for which set is -z the right answer? Normally, in the real numbers, we use z as the answer. So I am thinking for for -z to be the "correct" answer, we would be in the imaginary numbers. Right?
I suspect that your answer for the question in the Original Post is incorrect, but it's not possible to be sure about this without a precise definition of "proper choice".