Taking the set of natural numbers as the universal set, write down the complements of the following sets:

$\{ x:x$ is a prime number $\} $

Let $U=\{1,2,3,4,5,6,7,8,9\}, A=\{1,2,3,4\}, B=\{2,4,6,8\}$ and $C=\{3,4,5,6\} .$ Find

$B^{\prime}$

If $A$ and $B$ are two given sets, then $A \cap {(A \cap B)^c}$ is equal to

Taking the set of natural numbers as the universal set, write down the complements of the following sets:

$\{ x:x$ is an even natural number $\} $

Draw appropriate Venn diagram for each of the following:

$A^{\prime} \cup B^{\prime}$

Draw appropriate Venn diagram for each of the following:

$(A \cap B)^{\prime}$