Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.

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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

Write the following as intervals :

 $\{ x:x \in R, - 4\, < \,x\, \le \,6\} $

Write the following intervals in set-builder form :

$\left[ { - 23,5} \right)$

If $Q = \left\{ {x:x = {1 \over y},\,{\rm{where \,\,}}y \in N} \right\}$, then

Consider the sets

$\phi, A=\{1,3\}, B=\{1,5,9\}, C=\{1,3,5,7,9\}$

Insert the symbol $\subset$ or $ \not\subset $ between each of the following pair of sets:

$\phi \,....\,B$

Which of the following are sets ? Justify your answer.

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