Class 11

Math

Co-ordinate Geometry

Sets

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) $C∩D$

$B={x:xis an even natural number}={2,4,6,8.....}$

$C={x:xis an odd natural number}={1,3,5,7,9.......}$

$D={x:xis a prime number}={2,3,5,7....}$

(i) $A∩B={x:xis a even natural number}=B$

(ii) $A∩C={x:xis an odd natural number}=C$

(iii) $A∩D={x:xis a prime number}=D$

(iv) $B∩C=ϕ$

(v) $B∩D={2}$

(vi) $C∩D={x:xis odd prime number}$