Question

If A={ x:x is an even natural numbers less than 20). B= X:x=3n, n≤9)​

Answer 1

Questions:

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

(i) A∩B

(ii) A∩C

(iii) A∩D

(iv) B∩C

(v) B∩D

(vi) C∩D

Answer:

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}