Question

A={X IX∈N;2X<8}      B={YI Y∈N;Y=2X,X∈A}       C={Z∈NI Z=2,X∈A}     SA SE CALC     AUB     (AUB)UC      (A∧C)UB     (AUC) ∧B

Answer 1

2x<8
x<8/2
x<4
A={0,1,2,3}
y=2x
x=0⇒y=2·0=0
x=1⇒y=2
x=2⇒y=4
x=3⇒y=6
B={0,2,4,6}
C={2}
AUB={0,1,2,3,4,6} (AUB)UC ={0,1,2,3,4,6}(A∧C)UB={2}U{0,2,4,6}={0,2,4,6} (AUC) ∧B={0,1,2,3}∧{0,2,4,6}={2}