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 :

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

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

$\{ x:x\, \ge \,7\} $

If $A$ is any set, then

Draw appropriate Venn diagram for each of the following:

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

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

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