Question

Determinati n∈N astfel incat :
$\frac{3}{29} \ \textless \ \frac{5}{n} \ \textless \ \frac{21}{87}$, n≠0

Answer 1

3/29 < 5/n < 21/87    
 3·35 /(35·29) < 5·21/21n < 5·21/(5·87)
105/1015 < 105/21n  < 105/435
1015 > 21n  > 435
 48,33 > n > 20,71  ∪ n ∈ N ⇒
⇒  48 ≥ n ≥ 21  ⇒ n ∈{21,22,23,.....48}