Draw appropriate Venn diagram for each of the following:

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

Draw appropriate Venn diagram for each of the following:

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

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

$\{ x:x$ is a perfect square $\} $

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

Let $U=\{1,2,3,4,5,6\}, A=\{2,3\}$ and $B=\{3,4,5\}$

Find $A^{\prime}, B^{\prime}, A^{\prime} \cap B^{\prime}, A \cup B$ and hence show that $(A \cup B)^{\prime}=A^{\prime} \cap B^{\prime}$