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) B ∩ D (ii) C ∩ D
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) B ∩ D (ii) C ∩ D

Solution:

This can be written as

A $=$ {$x: x$ is 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 $=$ {$x: x$ is a prime number} $=$ {2, 3, 5, 7 …}

(i) B ∩ D = {2}

(ii) C ∩ D $=$ {$x: x$ is odd prime number}