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

Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:

$ 0\, ........\, A $

Write the following intervals in set-builder form :

$\left( {6,12} \right]$

Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?

$\{\varnothing\} \subset A$

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:

$\{ x:x$ is a triangle in a plane $\}  \ldots \{ x:x$ is a rectangle in the plane $\} $

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:

$\{ x:x$ is an even natural mumber $\}  \ldots \{ x:x$ is an integer $\} $