If $A = \{ 1,\,2,\,3,\,4,\,5\} ,$ then the number of proper subsets of $A$ is

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:

$\{ x:x$ is a student of class $\mathrm{XI}$ of your school $\}  \ldots \{ x:x$ student of your school $\} $

Write the following sets in the set-builder form :

$\{ 2,4,6 \ldots \} $

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If $A \subset B$ and $B \in C,$ then $A \in C$

The number of non-empty subsets of the set $\{1, 2, 3, 4\}$ is

Which of the following are examples of the null set

$\{ y:y$ is a point common to any two parallellines $\} $