Question

Find the set (A U B)'.
U = {1, 2, 3, 4, 5, 6, 7)
A = {2, 3, 5, 6}
B = {3, 4, 5)

Answer 1

Explanation:

The complement of a set is everything that is not in that set.

(A U B) means the union of sets A and B, which is the set of all elements that are in either A or B (or both).

(A U B)' means the complement of the set (A U B), which is everything that is not in the set (A U B).

To find (A U B)', we can first find (A U B) and then find everything that is not in that set.

(A U B) = {2, 3, 4, 5, 6}

So everything that is not in (A U B) is {1, 7}.

Therefore, (A U B)' = {1, 7}.