Write the following as intervals :

$\{ x:x \in R,3\, \le \,x\, \le \,4\} $

Which of the following are examples of the null set

Set of even prime numbers

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 $B \subset C,$ then $A \subset C$

State whether each of the following set is finite or infinite :

The set of letters in the English alphabet

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 $\} $