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 $A \in C$
State whether each of the following set is finite or infinite :
The set of lines which are parallel to the $x\,-$ axis
Write the following sets in the set-builder form :
${\rm{\{ 5,25,125,625\} }}$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{ 3,4\} \in A$
If a set $A$ has $n$ elements, then the total number of subsets of $A$ is