Which of the following pairs of sets are equal ? Justify your answer.
$\mathrm{X} ,$ the set of letters in $“\mathrm{ALLOY}"$ and $\mathrm{B} ,$ the set of letters in $“\mathrm{LOYAL}”.$
We have, $X =\{ A , L , L , O , Y \}, B =\{ L , O , Y , A , L \} .$ Then $X$ and $B$ are equal sets as repetition of elements in a set do not change a set. Thus,
$X=\{A, L, O, Y\}=B$
Which of the following sets are finite or infinite.
The set of prime numbers less than $99$
Which of the following are examples of the null set
$\{ y:y$ is a point common to any two parallellines $\} $
Write the following intervals in set-builder form :
$\left( {6,12} \right]$
Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$, then
Given the sets $A=\{1,3,5\}, B=\{2,4,6\}$ and $C=\{0,2,4,6,8\},$ which of the following may be considered as universal set $(s)$ for all the three sets $A$, $B$ and $C$
$\varnothing$