Answers:
Given,
A = {1, 2, 3…..}
B = {2, 4, 6, 8…}
C = {1, 3, 5, 7……}
D = {1, 2, 3, 5, 7, 11, …}
(i) A ∩ B
B ⊂ A = {2, 4, 6, 8…}
∴ A ∩ B = B
(ii) A ∩ C
C ⊂ A = {1, 3, 5…}
∴ A ∩ C = C
Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n – 1, n ∈ N} and, D = {x: x is a prime natural number} Find: (i) A ∩ B (ii) A ∩ C