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
b) (A ∩ B) ∪ (B ∩ C)
c) (B ∪ C) ∩ (A ∪ B)
Answer by MathLover1(20849)   (Show Source):
You can put this solution on YOUR website! 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}
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