Suppose that f is any function to be maximized, and that f can be evaluated at any x in the set {5, 4, 3, 2, 1} (That is, x can be any of these numbers, and we plug in to get a value for x, f(x). ). Suppose that M is the minimum value of f on this set. Now suppose that m is the minimum value of f on the set {5, 4, 3, 2}. Then how do you determine which is greater, M or m?