If n(A - B) = 24, n(B - A) = 32 and n(A ∩ B) = 10; find n(A ∪ B).

If ξ = {x : x ∈ N, x ≤ 10 } , A = {x : x ≥ 5} and B = {x : 3 < x < 6}, then find :

(i) (A ∪ B)'

(ii) A' ∩ B'

Are (A ∪ B)' and A' ∩ B' equal ?

Write the elements of the set

{x : x = 3y - 1, y ∈ N and 8 < y ≤ 12}.

If universal set = {x : x ∈ Z, -2 ≤ x < 4},

A = {x : -1 ≤ x < 3}, B = {x : 0 < x < 4} and

C = {x : - 2 ≤ x ≤ 0}; show that :

A - (B ∪ C) = (A - B) ∩ (A - C)