Which of the following are sets ? Justify your answer.
A team of eleven best-cricket batsmen of the world.
A team of eleven best cricket batsmen of the world is not a well-defined collection because the criteria for determining a batsman's talent may vary from person to person.
Hence, this collection is not a set.
Write the following sets in the set-builder form :
$\{ 1,4,9 \ldots 100\} $
Write the following as intervals :
$\{ x:x \in R,0\, \le \,x\, < \,7\} $
List all the elements of the following sers :
$A = \{ x:x$ is an odd natural number $\} $
In the following state whether $\mathrm{A = B}$ or not :
$A = \{ x:x$ is a multiple of $10\} ;B = \{ 10,15,20,25,30 \ldots \ldots \} $
List all the elements of the following sers :
$D = \{ x:x$ is a letter in the word $"\mathrm{LOYAL}" $ $\} $