Question

Fie multimile A={a€N/a=3 la puterea n,n€N*,n<3},B={b€N/b la puterea a 2=a,a€A},C=x€N*/2<2x-4<_8}.Calculati:AUB,Aintersectat cu B,AUC,Aintersectat cu C,BUC,Bintersectat cu C,A/C,B/A,C/A,A intersectat cu B intersectat cu C.

Answer 1

A={3^1,3^2}={3,9}
B={3}
C={4,5}
2<2x-4<8
6<2x<12
3<x<6
AUB={3,9}
A int B={3}
AUC={3,4,5,9}
A int C= mult vida
BUC={3,4,5}
B int C= mult vida
A/C={3,9}
B/A= mult vida
C/A={4,5}
A int B int C=mult vida