Question

IfA= (x:x is a natural number}; B = {x:x is an
sa natural number}; B = {x: x is an even number}; C = {xx is an
odd natural number}; D = {x:x is a prime number
ber}; D = {x:x is a prime number} then find (i) An B (ii) BUC
(iii) An D (iv) An C. What do you observe ?
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Answer 1

Answer:

Step-by-step explanation:

i) A∩B  =  even no ,

Ii) B∪C = natural no,

iii) A∩D  = prime no,

iv) A ∩ C = odd natural no,

for union it is natura no ,   as it consists all the no,

for  intersection it is the concern no, in 2nd category

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}