Question

Determinati numerele naturale n pentru care:

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

Answer 1

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}