State which of the following are null or empty sets?
$\{x : x i s a p e r s o n o v e r 100 m t a l l\}$

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Solution

A set that contains no member is called the empty set or null set. It is represented by $\{\}$ or $ϕ$ .
Given set: $\{x : x i s a p e r s o n o v e r 100 m t a l l\}$
As we know there cannot be any person who is over $100 m$ tall. The given set will contain no member or element.
Hence, the set $\{x : x i s a p e r s o n o v e r 100 m t a l l\}$ is a null or empty set.

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