Let the universal set U = {1,2,3,4,5, 6, 7) , also A = {2,4,5,6) , B = {1,4,6) and C = {3,4,5) . Use
this information to answer each of the following:
C. (4uB)'=
The complement of B is {1,2,3,5,7} (since it contains all elements not in B from the universal set U). Therefore, the union of {4} and the complement of B is {4,1,2,3,5,7}. So (4uB)' = {1,2,3,5,7}.
To find the complement of the set (4 ∪ B), we need to find all the elements that are not in the set (4 ∪ B).
First, let's find the union of sets 4 and B:
4 ∪ B = {4, 1, 6}
Now, let's find the complement of set (4 ∪ B), denoted as (4 ∪ B)':
(4 ∪ B)' = {1, 2, 3, 5, 7}
Therefore, (4 ∪ B)' = {1, 2, 3, 5, 7}.