Write the following sets in the set-builder form :

$\{ 2,4,6 \ldots \} $

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$\{2,4,6 \dots\}$

It is a set of all even natural numbers.

$\therefore \{ 2,4,6 \ldots \}  = \{ x:x{\rm{ }}$ is an even natural number ${\rm{ }}\} $

Similar Questions

The number of proper subsets of the set $\{1, 2, 3\}$ is

Given the sets $A=\{1,3,5\}, B=\{2,4,6\}$ and $C=\{0,2,4,6,8\},$ which of the following may be considered as universal set $(s)$ for all the three sets $A$, $B$ and $C$

$\{0,1,2,3,4,5,6,7,8,9,10\}$

Given the sets $A=\{1,3,5\}, B=\{2,4,6\}$ and $C=\{0,2,4,6,8\},$ which of the following may be considered as universal set $(s)$ for all the three sets $A$, $B$ and $C$

$\{ 1,2,3,4,5,6,7,8\} $

Which of the following are sets ? Justify your answer.

The collection of all boys in your class.

Which of the following pairs of sets are equal ? Justify your answer.

$A = \{ \,n:n \in Z$ and ${n^2}\, \le \,4\,\} $ and $B = \{ \,x:x \in R$ and ${x^2} - 3x + 2 = 0\,\} .$