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
In the following state whether $\mathrm{A = B}$ or not :
$A = \{ 2,4,6,8,10\} ;B = \{ x:x$ is positiveeven integer and $x\, \le \,10\} $
In the following state whether $\mathrm{A = B}$ or not :
$A = \{ 2,4,6,8,10\} ;B = \{ x:x$ is positiveeven integer and $x\, \le \,10\} $
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\} $
Decide, among the following sets, which sets are subsets of one and another:
$A = \{ x:x \in R$ and $x$ satisfy ${x^2} - 8x + 12 = 0 \} ,$
$B=\{2,4,6\}, C=\{2,4,6,8 \ldots\}, D=\{6\}$
Decide, among the following sets, which sets are subsets of one and another:
$A = \{ x:x \in R$ and $x$ satisfy ${x^2} - 8x + 12 = 0 \} ,$
$B=\{2,4,6\}, C=\{2,4,6,8 \ldots\}, D=\{6\}$
Write the following intervals in set-builder form :
$\left[ {6,12} \right]$
Write the following intervals in set-builder form :
$\left[ {6,12} \right]$
Which of the following are sets ? Justify your answer.
The collection of all boys in your class.
Which of the following are sets ? Justify your answer.
The collection of all boys in your class.