Question

4. If A = {x:x € N), B = (x:x € N and x is even}, C = (x:x € N and x is odd; and
D = {x:x€N and x is prime; then find:
(i) A^B
(ii) A^C
(ii) A^D
(iv) B^C
(v) B^D
(vi) C^D​

Answer 1

Answer:

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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}