Which of the following are sets ? Justify your answer.
The collection of ten most talented writers of India.
The collection of ten most talented writer of India is not a well-defined collection because the criteria for determining a writer's talent vary from person to person.
Hence, this collection is not a set.
Decide, among the following sets, which sets are subsets of one and another:
$A = \{ x:x \in R$ and $x$ satisfy ${x^2} - 8x + 12 = 0 \} ,$
$B=\{2,4,6\}, C=\{2,4,6,8 \ldots\}, D=\{6\}$
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $x$ is odd $\} $
Write the following as intervals :
$\{ x:x \in R, - 4\, < \,x\, \le \,6\} $
Write the following intervals in set-builder form :
$\left[ { - 23,5} \right)$
Examine whether the following statements are true or false :
$\{ a,b\} \not\subset \{ b,c,a\} $