Let $U = \{ 1,\,2,\,3,\,4,\,5,\,6,\,7,\,8,\,9,\,10\} $, $A = \{ 1,\,2,\,5\} ,\,B = \{ 6,\,7\} $, then $A \cap B'$ is

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

$A \cap A^{\prime}=\ldots$

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

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

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

Draw appropriate Venn diagram for each of the following:

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

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

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