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.
Examine whether the following statements are true or false :
$\{ a\} \in \{ a,b,c\} $
Let $S = \{ 0,\,1,\,5,\,4,\,7\} $. Then the total number of subsets of $S$ is
Which of the following are sets ? Justify your answer.
The collection of all boys in your class.
For an integer $n$ let $S_n=\{n+1, n+2, \ldots \ldots, n+18\}$. Which of the following is true for all $n \geq 10$ ?
Write the following as intervals :
$\{ x:x \in R,3\, \le \,x\, \le \,4\} $