Question

If A = {x : x ∈ W, x < 2} B = {x : x ∈ N, 1 < x < 5} C = {3, 5} find A × (B ∪ C)

Answer 1

Given that: A = {x : x ∈ W, x < 2}

⇒ A = {0, 1}

B = {x : x ∈ N, 1 < x < 5}

⇒ B = {2, 3, 4}

C = {3, 5}

A × (B ∪ C) = {0, 1} × {2, 3, 4, 5}

= {(0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (1, 4), (1, 5)}