Question 1206766
ε = {1,2,3,4,5,6,7,8,9,10}
A = {2,4,6,8,10}
B = {1,3,5,7}
C = {1,2,4,5,6,8,9,10}

List the members of the following sets:
a) (A ∩ B) ∪ B

(A ∩ B)=∅ (empty set, ∅, there are no elements that are in both sets A and B)

(A ∩ B) ∪ B=∅ ∪ {1,3,5,7}={1,3,5,7}


b) 

find elements that  A and B have in common:

(A ∩ B)=∅

find elements that  B and C have in common:

(B ∩ C)={1,5}

(A ∩ B) ∪ (B ∩ C)=∅ ∪ {1,5}={1,5}



c) (B ∪ C) ∩ (A ∪ B)

(B ∪ C) ={1,2,4,5,6,7,8,9,10}=ε 

(A ∪ B)={1,2,4,5,6,7,8,10}

(B ∪ C) ∩ (A ∪ B)={1,2,4,5,6,7,8,10}