If A = {2x : x ϵ N}, 1 ≤ x < 4}, B = {x + 2) : x ϵ N and 2 ≤ x < 5} and C = {x : x ϵ N and 4 < x < 8}, find:
(i) A ∩ B
(ii) A ∪ B
(iii) (A ∪ B) ∩ C
Given; A = {2x : x ϵ N}, 1 ≤ x < 4}, B = {x + 2) : x ϵ N and 2 ≤ x < 5} and C = {x : x ϵ N and 4 < x < 8}
According to the given conditions; A = {2, 4, 6}, B = {4, 5, 6} and C = {5, 6, 7}
(i) A ∩ B = {4, 6}
(ii) A ∪ B = {2, 4, 5, 6}
(iii) (A ∪ B) ∩ C = {5, 6}