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  1. Paris la ville de l'amour
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    #1
    Let $a,\,b,\,c$ be real numbers greater than $2$ such that $\dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}=1$.

    Prove that $(a-2)(b-2)(c-2)\le 1$.

  2. Pessimist Singularitarian
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  3. Paris la ville de l'amour
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    #3 Thread Author
    Well done MarkFL! And thanks for participating in my challenge!

    My solution:


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