Draw appropriate Venn diagram for each of the following:

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

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

$B=\{d, e, f, g\}$

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

$D=\{f, g, h, a\}$

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

$\{x: x+5=8\}$

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

${{\mathop{\rm U}\nolimits} ^\prime } \cap A =  \ldots $

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

$(A \cup C)^{\prime}$