Question

if A={x/x is a composite number x<25} and B={x/x=2n+l:n€N:<8}​

Answer 1

Answer:

(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:

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}