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.
Which of the following are sets ? Justify your answer.
The collection of all natural numbers less than $100 .$
Write the following as intervals :
$\{ x:x \in R, - 4\, < \,x\, \le \,6\} $
The set $A = \{ x:x \in R,\,{x^2} = 16$ and $2x = 6\} $ equals
Write the following sets in roster form :
$A = \{ x:x$ is an integer and $ - 3 < x < 7\} $
$A = \{ x:x \ne x\} $ represents