Draw appropriate Venn diagram for each of the following:

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

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

Draw appropriate Venn diagram for each of the following:

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

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

$A^{\prime}$

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\, \ge \,7\} $