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{ }}\} $

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  • [KVPY 2013]

Examine whether the following statements are true or false :

$\{a\} \subset\{a, b, c\}$