1. Prove that if > is transitive, then > and ~ are also transitive.2. Suppose that u represents > and that f is an everywhere
1. Prove that if > is transitive, then > and ~ are also transitive.2. Suppose that u represents > and that f is an everywhere strictly increasing function (that is, for all a and b, if a > b then f(a) > f(b)). Let v(x) = f(u(x)). Prove that v also represents >
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