State which of the following sets are finite or infinite :
$\{ x:x \in N$ and ${x^2} = 4\} $
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\varnothing \subset A$
Write the following sets in the set-builder form :
$\{ 1,4,9 \ldots 100\} $
Write the following as intervals :
$\{ x:x \in R, - 4\, < \,x\, \le \,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 $x \in A$ and $A \not\subset B$, then $x \in B$