Given A = {x ∈ N : x < 6}, B = {3, 6, 9} and C = {x ∈ N : 2x - 5 ≤ 8}. Show that :

(i) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

(ii) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

If n(A) = 30, n(B) = 20 and n(A ∪ B) = 36, find n(A ∩ B).

If n(A - B) = 30, n(B - A) = 20 and n(A ∩ B) = 10, find :

(i) n(A)

(ii) n(B)

(iii) n(A ∪ B)

If n(A - B) = 30, n(B - A) = 48 and n(A ∩ B) = 15, find n(A ∪ B).