Question

Let $A=\{x:x\in N\},B=\{x:x=2n,n\in N\},$

$C=\{x:x=2n-1,n\in N\}and$

$D=\{x:xisaprimenaturalnumber\}.$ Find.

(vi) $(C\cap D)$

Answer 1

Given, $A=\{x:x\in N\},B=\{x:x=2n,n\in N\},$

$C=\{x:x=2n-1,n\in N\}and$

$D=\{x:xisaprimenaturalnumber\}.$

So, $A=$ set of natural numbers $=\{1,2,3,4,...\}$

$B=$ set of even natural numbers $=\{2,4,6,8,...\}$

$C=$ Set of odd natural numbers $=\{1,3,5,7,...\}$

$D=$ set of all prime natural number $=\{1,2,3,5,7,11,....\}$

We know that every prime natural number is odd natural number except 2.

Therefore, $C\cap D$ $=D-\left\{2\right\}$.