Which of the following is the empty set
$\{ x:x$ is a real number and ${x^2} - 1 = 0\} $
$\{ x:x$ is a real number and ${x^2} + 1 = 0\} $
$\{ x:x$ is a real number and ${x^2} - 9 = 0\} $
$\{ x:x$ is a real number and ${x^2} = x + 2\} $
Let $S = \{ 0,\,1,\,5,\,4,\,7\} $. Then the total number of subsets of $S$ is
Which of the following sets are finite or infinite.
The set of months of a year
Write the following as intervals :
$\{ x:x \in R, - 4\, < \,x\, \le \,6\} $
Write the following sets in the set-builder form :
$\{ 1,4,9 \ldots 100\} $
If $A = \{ 1,\,2,\,3,\,4,\,5\} ,$ then the number of proper subsets of $A$ is