Write the following sets in the set-builder form :
${\rm{\{ 5,25,125,625\} }}$
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $(x - 1)(x - 2) = 0\} $
From the sets given below, select equal sets:
$A=\{2,4,8,12\}, B=\{1,2,3,4\}, C=\{4,8,12,14\}, D=\{3,1,4,2\}$
$E=\{-1,1\}, F=\{0, a\}, G=\{1,-1\}, H=\{0,1\}$
How many elements has $P(A),$ if $A=\varnothing ?$
Let $A, B,$ and $C$ be the sets such that $A \cup B=A \cup C$ and $A \cap B=A \cap C$. Show that $B = C$