olymmath

JBMO-SL 2008 A6

If the real numbers a,b,c,da, b, c, d are such that 0<a,b,c,d<10<a, b, c, d<1, show that

1+ab+bc+cd+da+ac+bd>a+b+c+d1+a b+b c+c d+d a+a c+b d>a+b+c+d

Dataset text NuminaMath olympiads. Quoted with source.

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