If U = {1, 2, 3, 4, 5}, A = {2, 3, 4} and B = {1, 3, 5} then (A ∪ B)’ = _____?

If U = {1, 2, 3, 4, 5}, A = {2, 3, 4} and B = {1, 3, 5} then (A ∪ B)’ = _____?

Explanation

To find (A ∪ B)':

First, find A ∪ B:

A ∪ B = {2, 3, 4} ∪ {1, 3, 5}

= {1, 2, 3, 4, 5}

Now, find the complement of A ∪ B:

(A ∪ B)' = U - (A ∪ B)

= {1, 2, 3, 4, 5} - {1, 2, 3, 4, 5}

= {}