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.
Which of the following are sets ? Justify your answer.
The collection of questions in this chapter.
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{ 3,4\} \in A$
$A = \{ x:x \ne x\} $ represents
How many elements has $P(A),$ if $A=\varnothing ?$
Consider the sets
$\phi, A=\{1,3\}, B=\{1,5,9\}, C=\{1,3,5,7,9\}$
Insert the symbol $\subset$ or $ \not\subset $ between each of the following pair of sets:
$\phi \,....\,B$