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Math Help - Help with real analysis/advanced calculus

  1. #1
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    Help with real analysis/advanced calculus

    Hey can anyone help me prove this problem?

    Let A and B be a subsets of R and bounded above.
    Let InfA=a and InfB=b.
    Let C= {xy ; x belongs to A, and y belongs to B}
    Prove that InfC=ab
    Last edited by salmaster; October 1st 2012 at 06:39 PM. Reason: typo error
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  2. #2
    MHF Contributor
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    Re: Help with real analysis/advanced calculus

    This is not necessarily true. Let A = (-3, 0) and B = (-5, 0). Then C = (0, 15), but (inf A) * (inf B) = 15.

    Edit: Since the problem is about calculus, it should go into the Calculus forum.
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