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Math Help - An interesting inequality

  1. #1
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    Sep 2010
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    An interesting inequality

    There are such positive numbers a, b, c that:



    Prove that



    All I know for now is that



    While proving the second inequality we should take into consideration only those numbers that satisfy the first one.

    I would be very grateful if anyone could at least give me any hint on how to do this inequality.

    It would be even nicer if somebody, even partially, solved it for me

    Thank you!
    Last edited by PaulinaAnna; September 11th 2010 at 06:32 AM.
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