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 $U=\{1,2,3,4,5,6\}, A=\{2,3\}$ and $B=\{3,4,5\}$
Find $A^{\prime}, B^{\prime}, A^{\prime} \cap B^{\prime}, A \cup B$ and hence show that $(A \cup B)^{\prime}=A^{\prime} \cap B^{\prime}$
Taking the set of natural numbers as the universal set, write down the complements of the following sets:
$\{ x:x$ is a positive multiple of $3\} $
Taking the set of natural numbers as the universal set, write down the complements of the following sets:
$\{ x:x$ is an odd natural number $\} $
Let $U$ be the universal set and $A \cup B \cup C = U$. Then $\{ (A - B) \cup (B - C) \cup (C - A)\} '$ is equal to