Question

Aflati numarul nenul n a)$\frac{3}{4}$ < $\frac{5}{n}$ b)$\frac{n+1}{7}$<$\frac{5}{4}$ c)$\frac{ n^{2} }{13}$ < $\frac{14}{3}$

Answer 1

a) 3/4 < 5/n => 3n <5x4 => 3n <20
20÷3=6 rest 2 => n<7 (in multimea N)

b) n+1/7 < 5/4 => 4 (n+1) < 7x5 => 4n+4 <35 => 4n <31
31÷4=7 rest 3 => n <8 (in multimea N)

c) n•n/13 < 14/3 => 3(n•n) <14x13 => 3 (n•n) <182 => n•n < 182/3 => n•n < 60,(6) => n < 60,(6)/n
• inseamna inmultire