Question

If P = {x : x < 3, x ∈ N}, Q = {x : x ≤ 2, x ∈ W}. Find (P ∪ Q) × (P ∩ Q), where W is the set of whole numbers.

Answer 1

Given that: P = {x : x < 3, x ∈ N}

⇒ P = {1, 2}

Q = {x : x ≤ 2, x ∈ W}

⇒ Q = {0, 1, 2}

Now (P ∪ Q) = {0, 1, 2} and (P ∩ Q) = {1, 2}

∴ (P ∪ Q) × (P ∩ Q) = {(0, 1), (0, 2), (1, 1), (1, 2), (2, 1), (2, 2)}