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RO-NMO 2006 Problem 84

  • Grade 8

Let a,b,c∈[12,1]a,b,c \in \left[ \frac 12, 1 \right] . Prove that 2≤a+b1+c+b+c1+a+c+a1+b≤3.2 \leq \frac{ a+b}{1+c} + \frac{ b+c}{1+a} + \frac{ c+a}{1+b} \leq 3 . selected by Mircea Lascu

Dataset text AI-MO AoPS. Quoted with source.

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