Which of the following are sets ? Justify your answer.
The collection of all natural numbers less than $100 .$
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.
Similar Questions
List all the subsets of the set $\{-1,0,1\}.$
List all the subsets of the set $\{-1,0,1\}.$
Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:
$ 5\, .......\, A$
Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:
$ 5\, .......\, A$
Which of the following are examples of the null set
$\{ x:x$ is a natural numbers, $x\, < \,5$ and $x\, > \,7\} $
Which of the following are examples of the null set
$\{ x:x$ is a natural numbers, $x\, < \,5$ and $x\, > \,7\} $
What universal set $(s)$ would you propose for each of the following :
The set of isosceles triangles
What universal set $(s)$ would you propose for each of the following :
The set of isosceles triangles
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{ \{ 3,4\} \} \subset A$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{ \{ 3,4\} \} \subset A$