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Determinati numerele naturale n pentru care:

a)
[tex] \frac{n}{3} < \frac{2}{3} [/tex]
b)
[tex] \frac{7}{4} > \frac{4n + 5}{4} [/tex]
c)
[tex] \frac{7}{n} > \frac{7}{2} [/tex]
d)
[tex] \frac{11}{17} < \frac{11}{5n + 4} [/tex]


Răspuns :

a)n/3<2/3
deoarece numitorii sunt identici comparam n<2
n€{0,1}
b)7/4>4n+5/4
7>4n+5
4n<7-5
4n<2
n<1/2
n=0
c)7/n>7/2
n=1
d)11/17<11/5n+4
5n+4<17
5n<13
n<13/5
n<2
n€{0,1}