If $A$ and $B$ be any two sets, then $(A \cap B)'$ is equal to

If $U =\{1,2,3,4,5,6,7,8,9\}, A =\{2,4,6,8\}$ and $B =\{2,3,5,7\} .$ Verify that

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

The shaded region in venn-diagram can be represented by which of the following ?

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

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

Fill in the blanks to make each of the following a true statement :

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

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 $\} $