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
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$
State whether each of the following set is finite or infinite :
The set of circles passing through the origin $(0,0)$
State whether each of the following set is finite or infinite :
The set of circles passing through the origin $(0,0)$
Write the following sets in roster form :
$B = \{ x:x$ is a natural number less than ${\rm{ }}6\} $
Write the following sets in roster form :
$B = \{ x:x$ is a natural number less than ${\rm{ }}6\} $
Write the following sets in roster form :
$D = \{ x:x$ is a prime number which is divisor of $60\} $
Write the following sets in roster form :
$D = \{ x:x$ is a prime number which is divisor of $60\} $
Write the following as intervals :
$\{ x:x \in R, - 12\, < \,x\, < \, - 10\} $
Write the following as intervals :
$\{ x:x \in R, - 12\, < \,x\, < \, - 10\} $