Which of the following are sets ? Justify your answer.
A collection of novels written by the writer Munshi Prem Chand.
A collection of novels written by the writer Munshi Prem Chand is a well-defined collection because one can definitely identify a book that belongs to this collection.
Hence, this collection is a set.
Write the following intervals in set-builder form :
$\left[ { - 23,5} \right)$
In the following state whether $A=B$ or not :
$A=\{4,8,12,16\} ; B=\{8,4,16,18\}$
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $A \subset B$ and $B \in C,$ then $A \in C$
Write the following as intervals :
$\{ x:x \in R, - 12\, < \,x\, < \, - 10\} $
Write the following as intervals :
$\{ x:x \in R,0\, \le \,x\, < \,7\} $