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Fie a>0,sa se compare numerele x=a/(1+a) si y=(a+2)/(a+1)

Răspuns :

[tex]y-x=\frac{a+2}{a+1}-\frac{a}{a+1}=\frac{2}{a+1}\ \textgreater \ 0\Rightarrow y\ \textgreater \ x[/tex]