Question

Sets
39
5.
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 An B, An C, An D, B n C, Bn D, Cn D​

Answer 1

A n B = { 2,4,6,8, 10, 12,....}

A n C = {1,3,5,7,9,11,13,........}

A n D = {2,3,5,7,11,13,17,......}

B n C = { }

B n D = {2}

C n D = {3,5,7, 11, 13, 17, 19,......}

Step-by-step explanation:

A = {1,2,3,4,5,6,7,8,.........}

B = {2,4,6,8,10,12,............}

C = {1,3,5,7,9,11,13,............}

D = {2,3,5,7, 11, 13, 17.......}

A n B = { 2,4,6,8, 10, 12,....}

A n C = {1,3,5,7,9,11,13,........}

A n D = {2,3,5,7,11,13,17,......}

B n C = { }

B n D = {2}

C n D = {3,5,7, 11, 13, 17, 19,......}

Answer 2

Answer:

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Explanation:

A={x:xis 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:xis 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:xis odd prime number}