Which of the following are sets ? Justify your answer.
The collection of all even integers.
Which of the following are sets ? Justify your answer.
The collection of all even integers.
The collection of all even integers is a well-defined collection because one can definitely identify an even integer that belongs to this collection.
Hence, this collection is a set.
Similar Questions
Which of the following are sets ? Justify your answer.
The collection of ten most talented writers of India.
Which of the following are sets ? Justify your answer.
The collection of ten most talented writers of India.
Write the following as intervals :
$\{ x:x \in R,3\, \le \,x\, \le \,4\} $
Write the following as intervals :
$\{ x:x \in R,3\, \le \,x\, \le \,4\} $
If a set $A$ has $n$ elements, then the total number of subsets of $A$ is
If a set $A$ has $n$ elements, then the total number of subsets of $A$ is
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \not\subset B$, then $x \in B$
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \not\subset B$, then $x \in B$
For an integer $n$ let $S_n=\{n+1, n+2, \ldots \ldots, n+18\}$. Which of the following is true for all $n \geq 10$ ?
For an integer $n$ let $S_n=\{n+1, n+2, \ldots \ldots, n+18\}$. Which of the following is true for all $n \geq 10$ ?
- [KVPY 2013]