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 $100$.
(N/A) 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.
Hence,this collection is a set.
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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 a universal set for all the three sets $A$,$B$ and $C$?
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View SolutionWhich of the following is a set? Justify your answer.
$A$ team of eleven best cricket batsmen of the world.
$A$ team of eleven best cricket batsmen of the world.
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View SolutionIf $A = \{x \mid x \text{ is a prime number, } 0 \leq x \leq 9\}$,then the number of elements of the power set of $A$ is
State whether the following set is finite or infinite:
The set of numbers which are multiples of $5$.
The set of numbers which are multiples of $5$.
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$B = \{ x : x \text{ is an integer}; -\frac{1}{2} < x < \frac{9}{2} \}$
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