. Let A, B be sets of real numbers. We will say that B is dense in A if for any s e A and for any real number e > 0, there exists t e An B such that |s – t| < e. (c) sup A = sup B. (Actually, this statement is true even when sup B is not finite, but showing this is not required for this exam.) Show that if A is dense in B, A is a subset of B, and sup B is finite, then

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