Question

10
6. Let 5 = {x | x € N, x is a factor of 144}, A = {x | x € N, x is a factor of 24),
B = {x / x e N, x is a factor of 36}, C = {x | x € N, x is a factor of 48).
Find :
(1) A
(ii) B.
(iii) C
(iv) AUB (v) BUC
(vi) AUC (vii) An B' (viii) BC
(ix) C - A
(x) A - (
BC)​

Answer 1

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}

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