Question

The theorem “the whole is greater than its parts” can be used with m = n + p (where n and p are not equal to zero) to show which of the following? n > m p > m
n > p m > p

Answer 1

I'd hardly call that a "theorem". Only in spiritual philosophy can "the whole be greater than the sum of its parts". In the real world, there's always losses.

Aside from that, your expression should be stated m>n+p for m to be considered GREATER THAN the sum of n and p.

Now that I've blown my curmudgeonry on you, examine the facts to find your answer:

If m is greater than n PLUS p, then it follows that m must also be greater than n OR p.

Conversely, neither n NOR p can be greater than m

Freebie consideration: whether n is greater than p or not is irrelevant. We're talking about the SUM of the parts, not which part is larger than another part.