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Thread: Help please

  1. #1
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    Help please

    If $\displaystyle a,b$ and $\displaystyle c$ are whole positive numbers, prove that
    $\displaystyle \frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}\ge\frac{ 3}{2}$
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  2. #2
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  3. #3
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    You could argue that for $\displaystyle a=b=c=1$ the value of the expression is $\displaystyle \frac{3}{2}$ and that the expression is strictly increasing with respect to each unknown.
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  4. #4
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    iknowone I agree with you but still I can't understand how to solve it. Note that I am at the sixth grade so I think that there's something simpler.
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  5. #5
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    Somebody just told me that there are 8 different ways of solving this inequality.
    Is that .................................................. .......true??????????


    Please somebody help .................................................. .....
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