State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $(x - 1)(x - 2) = 0\} $
Given set $ = \{ 1,2\} .$ Hence, it is finite.
If $A = \{ 1,\,2,\,3,\,4,\,5\} ,$ then the number of proper subsets of $A$ is
Write down all the subsets of the following sets
$\emptyset $
Write the following sets in the set-builder form :
$\{ 3,6,9,12\}$
Are the following pair of sets equal ? Give reasons.
$A = \{ 2,3\} ,\quad \,\,\,B = \{ x:x$ is solution of ${x^2} + 5x + 6 = 0\} $
Assume that $P(A)=P(B) .$ Show that $A=B$.