If $U=\{a, b, c, d, e, f, g, h\},$ find the complements of the following sets:

$C=\{a, c, e, g\}$

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

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

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

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

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

$(B-C)^{\prime}$

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 $\} $