Write the following sets in roster form :
$C = \{ x:x{\rm{ }}$ is a two-digit natural number such that sum of its digits is $8\} $
$C = \{ x:x{\rm{ }}$ is a two-digit natural number such that the sumof its digits is $8\} $
The elements of this set are $17,26,35,44,53,62,71$ and $80$ only.
Therefore, this set can be written in roster form as $C=\{17,26,35,44,53,62,71,80\}$
Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$, then
Write the following intervals in set-builder form :
$\left[ { - 23,5} \right)$
Assume that $P(A)=P(B) .$ Show that $A=B$.
Which of the following are sets ? Justify your answer.
The collection of ten most talented writers of India.
Let $A, B,$ and $C$ be the sets such that $A \cup B=A \cup C$ and $A \cap B=A \cap C$. Show that $B = C$