Question

Valoarea lui n€Z, din |7-3n|<2
Ajutor pls

Answer 1

|7-3n|<2⇔ -2<7-3n<2 |-7⇔-9<-3n<-5 |:(-3)⇔3>n>1,(6)⇔1,(6)<n<3⇔n∈{2}⇒    
n=2

Answer 2

1)
l7-3nl=7-3n, daca 7-3n>_0,  7>_3n, n<_7/3,  n=Z, rezulta n<_2
l7-3nl=7-3n, daca n<_2

2)
l7-3nl=-7+3n, daca 7-3n<0, 7<3n, n>7/3, n=Z, rezulta n>_3
l7-3nl=-7+3n, daca n>_3

1) n<_2

7-3n<2

3n>5

n>5/3, dar n=Z si n<_2, rezulta n=2

2) n>_3

-7+3n<2

3n<9

n<3, dar n>_3, rezulta ca inecuatia nu are valori in acest caz 

Solutie n=2