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Math Help - Inequality

  1. #1
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    Inequality

    Prove that if x, y, z are positive than
    \frac x{y+z}+\frac y{x+z}+\frac z{x+y}\ge \frac 32.

    (This is Nesbitt's inequality.)
    Last edited by james_bond; January 17th 2008 at 11:24 AM.
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  2. #2
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    Quote Originally Posted by james_bond View Post
    Prove that if x, y, z are positive than
    \frac x{y+z}+\frac y{x+z}+\frac z{x+y}\ge \frac 32.

    (This is Nesbitt's inequality.)
    It has proofs right on that page. I use the first one that appears.
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  3. #3
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    Yeh, after I posted I found the inequality on Wikipedia so I edited my post with the link...
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