Question

Se dau multimile:
E= {x/x apartine lui N,x=2k+2;k apartine lui N,k< sau egal 4
F={y/y apartine lui N,y=2k+1;4 < sau egal k< sau egal 7,k apartine lui N.
G={z/z apartine lui N,z=4k,k apartinelui N,2< sau egalk<5}. Enumarati elementele acestor multimi.

Answer 1

k≤4
k=4⇒x=2k+2=2·4+2=10
k=5⇒x=12
k=6⇒x=14
E={10,12,14,16,18,20,22,24,26..................}
k≤7
k=7⇒y=2k+1=2·7+1=15
k=6⇒y=13
...............
F={1,3,5,7,9,11,13,15}
2<k<5
k=3⇒z=4k=4·3=12
k=4⇒z=16
G={12,14}