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

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

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

$\{x: 2 x+5=9\}$

Let $U=\{1,2,3,4,5,6,7,8,9,10\}$ and $A=\{1,3,5,7,9\} .$ Find $A^{\prime}$

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

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

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