Which of the following are sets ? Justify your answer.
The collection of all natural numbers less than $100 .$
The collection of all natural numbers less than $100$ is a well-defined collection because one can definitely identify a number that belongs to this collection.
Hence, this collection is a set.
Write the following sets in the set-builder form :
${\rm{\{ 5,25,125,625\} }}$
List all the elements of the following sers :
$A = \{ x:x$ is an odd natural number $\} $
Which of the following sets are finite or infinite.
$\{1,2,3, \ldots 99,100\}$
The number of elements in the set $\{ (a,\,b):2{a^2} + 3{b^2} = 35,\;a,\,b \in Z\} $, where $Z$ is the set of all integers, is
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 $“\mathrm{LOYAL}”.$