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.
Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$, then
What universal set $(s)$ would you propose for each of the following :
The set of right triangles
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 $x \in A$ and $A \in B,$ then $x \in B$
List all the subsets of the set $\{-1,0,1\}.$
State whether each of the following set is finite or infinite :
The set of letters in the English alphabet