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 AuB,
AnC,
AnD,BnC,BnD,CnD.​

Answer 1

Answer:

Step-by-step explanation:

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,}

AnB ={2,4,6,10}

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

AnD={3,5,7}

BnC={ 0 }

BnD={2}

CnD={3,5,7}

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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}