Question 764913: Given the following determine the set (A' U B')∩(A U B)'
U = {1,2,3,4,5,6,7,8}
A ={1,3,6,7,8}
B = {1,2,5,6}
(A' U B')∩ (A U B)'=
Can any one help?
Answer by ramkikk66(644)   (Show Source):
You can put this solution on YOUR website!
U = {1,2,3,4,5,6,7,8}
A ={1,3,6,7,8}
B = {1,2,5,6}
(A' U B')∩ (A U B)'=
A' = set of all elements in U but not in A = {2,4,5}
B' = set of all elements in U but not in B = {3,4,7,8}
A' U B' = {2,3,4,5,7,8} ---> (1)
A U B = {1,2,3,5,6,7,8}
(A U B)' = set of all elements in U but not in (A U B) = {4} --- (2)
So (A' U B')∩ (A U B)'= {4} which is the only common element between the sets
as seen from (1) and (2).
|
|
|
