Răspuns:
Explicație pas cu pas:
n < 37/11 < n + 1
37/11 = 3,(36)
n < 3,(36) < n + 1
n = 3
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3 < 3,(36) < 4
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37/11 = 37 : 11 = 3, rest 4 sau 3 4/11 (3 intregi si 4/11)
3 intregi < 3 intregi si 4/11 < 4 intregi
n = 3
Sper ca fractii sau impartire cu rest ai invatat.
[tex]n < \dfrac{37}{11} < n+1[/tex]
[tex]Din \to \dfrac{37}{11} < n+1 \implies 37 < 11 (n + 1) \implies 11n + 11 > 37 \\[/tex]
[tex]\implies 11 n > 26 \implies n > \dfrac{26}{11}[/tex]
Atunci:
[tex]\dfrac{26}{11} < n < \dfrac{37}{11} \implies n \in \bigg(\dfrac{26}{11} ; \dfrac{37}{11}\bigg)[/tex]
