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. (AuB)'=
{1,3,7}
To find the complement of the union of sets A and B (AuB)', we need to find all the elements in the universal set U that are not in the union of sets A and B.
First, let's find the union of A and B:
A u B = {2,4,5,6} u {1,4,6} = {1,2,4,5,6}
Now, let's find the complement of the union (AuB)' by finding the elements in the universal set U that are not in the union of A and B:
(AuB)' = U - (A u B)
= {1,2,3,4,5,6,7} - {1,2,4,5,6}
= {3,7}
Therefore, (AuB)' = {3,7}.