Q. 26

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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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PREVIOUS
If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find
(i) A ∩ B
(ii) B ∩ C
(iii) A ∩ C ∩ B
(iv) A ∩ C
(v) B ∩ D
(vi) A ∩ (B ∩ C)
(vii) A ∩ D
(viii) A ∩ (B ∩ D)
(ix) (A ∩ B) ∩ (B ∪ C)
(x) (A ∪ B) ∩ (B ∪ C)
NEXT
Which of the following pairs of sets and disjoint
(i) {1, 2, 3, 4} and {X : X is a natural number and 4 ≤ X ≤ 6}
(ii) {a, e, i, o, u} and {c, d, e, f}
(iii) {X : X is an even integer} and {X : X is an Odd integer}

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