State which of the given set is an empty set.
{odd numbers divisible by $2$ }

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Solution

Empty set:
A set which does not contain any element is called an empty set and it is denoted by $ϕ$ .
We know that, as only even numbers are divisible by $2$ , there are no odd numbers which are divisible by $2$ .
{odd numbers divisible by $2$ } i.e. $\{\}$ or $ϕ$ .
Thus, the given set is an empty set.

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