If A = {x : x ϵ R, x < 5} and B = {x : x ϵ R, x > 4}, find A ∩ B.

Prove that A – B = A ∩ B.’

Find the symmetric difference A Δ B, when A = {1, 2, 3} and B = {3, 4, 5}.

Prove that A ∩ (A ⋃ B)’ = ϕ

If A = {3, {2}}, find P(A).