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.

Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:

$ 8\, .......\, A $

Write the following intervals in set-builder form :

$\left( { - 3,0} \right)$

Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are

Write the following sets in roster form :

$A = \{ x:x$ is an integer and $ - 3 < x < 7\} $

Which of the following are sets ? Justify your answer.

The collection of questions in this chapter.