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3supra29 < 5supra n < 21supra87,n diferit de 0 . Va rog !

Răspuns :

3/29<5/n<21/87;
⇒3/29=0,103;
⇒21/87=0,241;
⇒0,103<5/n<0,241
⇒n∈[21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48];
[tex] \frac{3}{29}\ \textless \ \frac{5}{n} \Rightarrow n\ \textless \ \frac{29*5}{3}= \frac{145}{3} . \\ \\ \frac{5}{n}\ \textless \ \frac{21}{87} \Rightarrow n\ \textgreater \ \frac{5*87}{21} = \frac{435}{21} . \\ \\ \frac{435}{21}\ \textless \ n\ \textless \ \frac{145}{3}~si~n \in N \Rightarrow n \in \{ 21;22;23;...;48 \}.[/tex]