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Part of 1993 Poland - Second Round

Problems(1)

44-th Polish Mathematical Olympiad 1992/1993

Source:

x,y,u,v

are positiv real numbers, prove the inequality : \frac {xu \plus{} xv \plus{} yu \plus{} yv}{x \plus{} y \plus{} u \plus{} v} \geq \frac {xy}{x \plus{} y} \plus{} \frac {uv}{u \plus{} v}

inequalitiesinequalities unsolved