State which of the following sets are finite or infinite :

$\{ x:x \in N$ and $(x - 1)(x - 2) = 0\} $

Examine whether the following statements are true or false :

$\{ a,b\}  \not\subset \{ b,c,a\} $

Consider the sets

$\phi, A=\{1,3\}, B=\{1,5,9\}, C=\{1,3,5,7,9\}$

Insert the symbol $\subset$ or $ \not\subset $ between each of the following pair of sets:

$A \ldots C$

The number of elements in the set $\{x \in R :(|x|-3)|x+4|=6\}$ is equal to

Which of the following are sets ? Justify your answer.

The collection of all natural numbers less than $100 .$

Decide, among the following sets, which sets are subsets of one and another:

$A = \{ x:x \in R$ and $x$ satisfy ${x^2} - 8x + 12 = 0 \} ,$

$B=\{2,4,6\}, C=\{2,4,6,8 \ldots\}, D=\{6\}$