Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.
Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.
We may write the set $\mathrm{A}$ as
$A = \{ x:x$ is the square of a natural number $\} $
Alternatively, we can write
$A = \{ x:x = {n^2},{\rm{ }}$ where $n \in N{\rm{\} }}$
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.
$A = \{ x:x \ne x\} $ represents
$A = \{ x:x \ne x\} $ represents
Write the following sets in the set-builder form :
${\rm{\{ 2,4,8,16,32\} }}$
Write the following sets in the set-builder form :
${\rm{\{ 2,4,8,16,32\} }}$
Which of the following pairs of sets are equal ? Justify your answer.
$\mathrm{X} ,$ the set of letters in $“\mathrm{ALLOY}"$ and $\mathrm{B} ,$ the set of letters in $“\mathrm{LOYAL}”.$
Which of the following pairs of sets are equal ? Justify your answer.
$\mathrm{X} ,$ the set of letters in $“\mathrm{ALLOY}"$ and $\mathrm{B} ,$ the set of letters in $“\mathrm{LOYAL}”.$
Examine whether the following statements are true or false :
$\{ x:x$ is an even natural number less than $6\} \subset \{ x:x$ is a natural mumber which divide $36\} $
Examine whether the following statements are true or false :
$\{ x:x$ is an even natural number less than $6\} \subset \{ x:x$ is a natural mumber which divide $36\} $