The number of proper subsets of the set $\{1, 2, 3\}$ is

Write the following sets in the set-builder form :

${\rm{\{ 5,25,125,625\} }}$

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

$\{ x:x$ is an even natural mumber $\}  \ldots \{ x:x$ is an integer $\} $

Write the solution set of the equation ${x^2} + x - 2 = 0$ in roster form.

Write the following sets in roster form :

$B = \{ x:x$ is a natural number less than ${\rm{ }}6\} $

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 $A \in C$