Задача с олимпиады Латвии,inequality

Syrym's picture

$x_1,x_2,x_3,x_4,x_5  \geq 0$

$\frac{x_1+x_3}{x_1+x_2}$+ $\frac{x_2+x_4}{x_2+x_3}$+$\frac{x_3+x_1}{x_3+x_4}$ + $\frac{x_4+x_2}{x_4+x_1}$  $\geq 4$.

Proposed by Syrymbet Zh. 

 

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