Question

A={X∈NIX<4}     B={Y∈N IY=2X,X∈A}    C={Z∈NIZ=2LA PUTEREA X,X∈A}    CALC   AUB  A∧C   BUC   AUC

Answer 1

N-multimea nr.naturale=0,1,2,3,4,5......
x<4
A={0,1,2,3}
x=0⇒y=0
x=1⇒y=2·1=2
x=2⇒y=2·2=4
x=3⇒y=6
B={0,2,4,6}
x=0⇒z=2°=1
x=1⇒z=2
x=2⇒z=2²=4
x=3⇒z=2³=8
C={1,2,4,8}
AUB={0,1,2,3}U{0,2,4,6}={0,1,2,3,4,6}
A∧C={0,1,2,3}∧{1,2,4,8}={2}
BUC={0,2,4,6}U{1,2,4,8}={0,1,2,4,6,8}
AUC={0,1,2,3}U{1,2,4,8}={0,1,2,3,4,8}