$A = \{ x:x \ne x\} $ represents

- A
$\{0\}$

- B
$\{\}$

- C
$\{1\}$

- D
$\{x\}$

Write down all the subsets of the following sets

$\emptyset $

Write the following as intervals :

$\{ x:x \in R, - 12\, < \,x\, < \, - 10\} $

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 $A \in C$

Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?

$\{\varnothing\} \subset A$

State which of the following sets are finite or infinite :

$\{ x:x \in N$ and $x$ is prime $\} $