Write the following sets in the set-builder form :
$\{ 1,4,9 \ldots 100\} $
Write the following sets in the set-builder form :
$\{ 1,4,9 \ldots 100\} $
$\{1,4,9 \ldots 100\}$
It can be seen that $1=1^{2}, 4=2^{2}, 9=3^{2} \ldots 100=10^{2}$
$\therefore \{ 1,4,9 \ldots 100\} = \{ x:x = {n^2},n \in N{\rm{ }}$ and $1\, \le \,n\, \le \,10\} $
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.
Find the pairs of equal sets, if any, give reasons:
$A = \{ 0\} ,$
$B = \{ x:x\, > \,15$ and $x\, < \,5\} $
$C = \{ x:x - 5 = 0\} ,$
$D = \left\{ {x:{x^2} = 25} \right\}$
$E = \{ \,x:x$ is an integral positive root of the equation ${x^2} - 2x - 15 = 0\,\} $
Find the pairs of equal sets, if any, give reasons:
$A = \{ 0\} ,$
$B = \{ x:x\, > \,15$ and $x\, < \,5\} $
$C = \{ x:x - 5 = 0\} ,$
$D = \left\{ {x:{x^2} = 25} \right\}$
$E = \{ \,x:x$ is an integral positive root of the equation ${x^2} - 2x - 15 = 0\,\} $
Write the following as intervals :
$\{ x:x \in R,0\, \le \,x\, < \,7\} $
Write the following as intervals :
$\{ x:x \in R,0\, \le \,x\, < \,7\} $
Which of the following is a true statement
Which of the following is a true statement
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $x$ is odd $\} $
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $x$ is odd $\} $