If A = {x: x is a natural number}, B ={x: x is an even natural number}
Question:

If A = {x: x is a natural number}, B ={x: x is an even natural number}

C = {x: x is an odd natural number} and 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

Solution:

A = {x: x is a natural number} = {1, 2, 3, 4, 5 …}

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 = {x: x is a even natural number} = B

(ii) A  C = {x: x is an odd natural number} = C

(iii) A  D = {x: x is a prime number} = D

(iv) B  C = Φ

(v) B  D = {2}

(vi) C  D = {x: x is odd prime number}

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