The number of proper subsets of the set $\{1, 2, 3\}$ is
Write the following sets in the set-builder form :
${\rm{\{ 2,4,8,16,32\} }}$
Find the pairs of equal sets, if any, give reasons:
$A = \{ 0\} ,$
$B = \{ x:x\, > \,15$ and $x\, < \,5\} $
$C = \{ x:x - 5 = 0\} ,$
$D = \left\{ {x:{x^2} = 25} \right\}$
$E = \{ \,x:x$ is an integral positive root of the equation ${x^2} - 2x - 15 = 0\,\} $
Which of the following sets are finite or infinite.
The set of positive integers greater than $100$
How many elements has $P(A),$ if $A=\varnothing ?$