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aflati toate valorile numarului natural n, pentru care 26<5n<15656

Răspuns :

   
[tex]\displaystyle\\ n~\text{este un numar natural nu o cifra.}\\ 5n=5\times n~~NU~~\overline{5n}\\\\ Rezolvare:\\ 26\ \textless \ 5n\ \textless \ 15656\\\Longrightarrow~~30\leq5n\leq15655~~\text{deoarece ~~5n~~este un multiplu al lui 5}\\\\ \text{Rezolvam prima inegalitate:}\\\\ 5n\geq30\\\\ n\geq\frac{30}{5}\\\\ \boxed{n\geq6}\\\\ \text{Rezolvam a doua inegalitate: }\\\\ 5n\leq15655\\\\ n\leq\frac{15655}{5} \\\\ \boxed{n\leq3131}\\\\ \text{Concluzia finala:}\\ \Longrightarrow~~\boxed{x\in\{6; ~7; ~8;~\hdots~3131\}}[/tex]