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#1 2006-03-14 23:43:31

Jake
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Real Analysis Problem

a function f: R -> R has the property that for any four real numbers a, b, c, d such that a - b > c - d, we have f(a) - f(b) > f(c) - f(d). prove that f is a linear function, ie f(x)  = mx + n for all x belonging to R, where m, n belong to R and m > 0

Does anyone know the name of this theorom or how to prove it?!

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