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Determinati numerele naturale n care verifica simultan conditiile:
1) n+2supra 15 fractie subunitara
2)n+1 supra 7 fractie supraunitara


Răspuns :

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Vezi imaginea CRISANEMANUEL
[tex] \dfrac{n + 2}{15} = subunitara \\ \\ \\ n + 2 < 15 \\ \\ n < 15 - 2 \\ \\ n < 13 \\ \\ n = 0,1,2,3,...,12[/tex]




[tex] \dfrac{n + 1}{7} = supraunitara \\ \\ \\ n + 1 > 7 \\ \\ n > 7 - 1 \\ \\ n > 6 \\ \\ n = 7,8,9,..., \infty[/tex]

n € {7,8,9,10,11,12}