SOLUTION: If m doesn't equal 0, which of the following statements could be true? I. m - n = -(n - m) II. (-m)^2 = (m^2) - 2m^2 II. m > -m A) I only B) II only C) III only D) I and

Question 472223: If m doesn't equal 0, which of the following statements could be true?
I. m - n = -(n - m)
II. (-m)^2 = (m^2) - 2m^2
II. m > -m
A) I only
B) II only
C) III only
D) I and III only
E) II and III only
Please explain how I could approach this problem (ie. plugging in numbers, etc?) and why the answer is correct.
Thanks!
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
I could be true, because if m = n, we get 0 = 0.

II cannot be true. This is because the LHS is equal to m^2, and the RHS is equal to -m^2. They are equal only when m = 0.

III could be true. If m is some positive number (e.g. 5) we get an inequality such as 5 > -5, which is true.

Answer is D.
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