Q. 26

# Let A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number }, D = {x : x is a prime number}. Find (i) A ∩ B (ii) A ∩ C (iii) A ∩ D (iv) B ∩ C (v) B ∩ D (vi) C ∩D

Answer :

A = {x : x is a natural number} = {1, 2, 3, 4, …..}
B = {x : x is an even natural number} = {2, 4, 6, 8, …….}
C = {x : x is an odd natural number} = {1, 3, 5, 7, 9, …….}
D = {x : x is a prime number} = {2, 3, 5, 7, ………}
(i) A ∩ B = {2, 4, 6, 8, …….} = B
(ii) A ∩ C = {1, 3, 5, 7, 9, …….} = C
(iii) A ∩ D = {2, 3, 5, 7, ………} = D
(iv) B ∩ C = {}
(v) B ∩D = {2}
(vi) C ∩ D = {3, 5, 7, ………} = {x : x is an odd prime number}

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