Show that the set of letters needed to spell $"\mathrm{CATARACT}"$ and the set of letters needed to spell $"\mathrm{TRACT}"$ are equal.
Let $X$ be the set of letters in $"CATARACT".$ Then
$X=\{ C , A , T , R \}$
Let $Y$ be the set of letters in $"TRACT".$ Then
$Y=\{T, R, A, C, T\}=\{T, R, A, C\}$
Since every element in $X$ is in $Y$ and every element in $Y$ is in $X$. It follows that $X = Y$.
Write the following sets in the set-builder form :
$\{ 1,4,9 \ldots 100\} $
Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:
$\{ x:x$ is a student of class $\mathrm{XI}$ of your school $\} \ldots \{ x:x$ student of your school $\} $
Which of the following are sets ? Justify your answer.
A collection of most dangerous animals of the world.
If $A$ and $B$ are any two non empty sets and $A$ is proper subset of $B$. If $n(A) = 4$, then minimum possible value of $n(A \Delta B)$ is (where $\Delta$ denotes symmetric difference of set $A$ and set $B$)
What universal set $(s)$ would you propose for each of the following :
The set of isosceles triangles