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Math Help - Proving Inequalities

  1. #1
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    Proving Inequalities

    Hello I am new to this site, and I have to learn LaTex so please bare with me. Prove that if x,y >= 0, then . Thanks in advance.
    Last edited by brucewayne; August 30th 2012 at 08:41 AM.
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  2. #2
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    Re: Proving Inequalities

    The side condition should be x, y ≥ 1. Show that y\sqrt{x-1}\le xy/2 and x\sqrt{y-1}\le xy/2.
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  3. #3
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    Re: Proving Inequalities

    My sincerest apologies, the If statement should read x, y >= 1.
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  4. #4
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    Re: Proving Inequalities

    My apologies for being unprofessional and not employing LaTex. I am in the process of trying to figure LaTex out. At any rate, y*sqrt(x-1) + x*sqrt(y-1) < = (less than or equal) xy.
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  5. #5
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    Re: Proving Inequalities

    So, did the hint in post #2 help?
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