Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7}, A = {1, 3, 5, 7} and B = {0, 2, 3, 5, 7}, find the following set

(A ∪ B)’

Answer 1

A ∪ B = {1, 3, 5, 7} ∪ {0, 2, 3, 5, 7}

= {0, 1, 2, 3, 5, 7}

(A ∪ B)’ = U – (A ∪ B)

= {0, 1, 2, 3, 4, 5, 6, 7} – {0, 1, 2, 3, 5, 7}

= {4, 6}