Question

if{x:x is an even natural number and x<12} B{x:xi is a natural number and divisor of 6} find ( AuB) -(AnB) and (A-B)u(B-A) and AuB
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Answer 1

Answer:

={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}

Step-by-step explanation:

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