I believe that the problem should read as follows:
If y = -(m²), which of the following must be true?
I. y is negative.
II. m is non-negative.
III. If m is negative then y is negative.
A. I only
B. II only
C. III only
D. I and II only
E. II and III only
Try to show that I, II, and III DON'T have to true.
There are NO restrictions on m.
Thus, m can be ANY VALUE.
Since it does not have to be true that m is nonnegative, eliminate any answer choice that includes II.
Eliminate B, D and E.
If m=0, then y=0.
Since it does not have to be true that y is negative, eliminate any remaining answer choice that includes I.
Eliminate A.
The correct answer is
C.
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