Question

K

Given the following sets, find the set (A UBUC)'.
U= {1, 2, 3, ... ,6}
A = {1, 3, 4, 6}
B={1, 2, 3)
C = {2, 3, 4, 5, 6}
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. (AUBUC)' = {}
(Use a comma to separate answers as needed. Use ascending order.)
B. (A UBUC)' is the empty set.

Answer 1

Explanation:

A. (AUBUC)' = {}

B. (A UBUC)' is the empty set.

Both options A and B express that the complement of the union of the sets A, B, and C is the empty set. The complement of a set is the set of all elements that are not in that set. The union of sets is the set of all elements that are in at least one of the sets.

When taking the union of A, B, and C all the elements in U are included, so there is no element that is not in the set, making the complement of the union of A,B,C is an empty set.