$A = \{ x:x \ne x\} $ represents
$\{0\}$
$\{\}$
$\{1\}$
$\{x\}$
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 $\} $