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 :. (a)A n B (b) AUB (c) A n C (d)A n D (e)B n C (g)C n D (h)B U C.​

Answer 1

Answer:

A = {1,2,3,4,5,6,7,8,9,10...}

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

C = {1,3,5,7,9}

D = {2,3,5,7}

A n B = {2,4,6,10}

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

A n D = {3,5,7}

B n C = { 0 }

B n D = {2}

C n D = {3,5,7}

Step-by-step explanation:

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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}