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

$\{x: x+5=8\}$

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

$\{ x:x\, \ge \,7\} $

Draw appropriate Venn diagram for each of the following:

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

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

Let $A$ and $B$ be two sets then $(A \cup B)' \cup (A' \cap B)$ is equal to

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

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