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Let A and B be two sets of real numbers each bounded above. Let a = sup X(A) and b = sup X(B). Let C
Let A and B be two sets of real numbers each bounded above. Let a = sup X(A) and b = sup X(B). Let C be the set of real numbers of the form XY with X in A and y in B. Prove or disprove that ab = sup X(C).
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