• anonymous
Let $$x,y$$ and $$z$$ be positive real numbers less than 4. Prove that among the numbers$\frac{1}x + \frac1{4-y},\;\frac{1}z + \frac1{4-x},\;\frac{1}y + \frac1{4-z}$there is at least one that is greater than or equal to 1.
Mathematics

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