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An empty set is a set with no elements. It is written with empty curly brackets as {}
or with the symbol ∅.
In a Venn Diagram, the empty set A can be shown by not writing any elements in it.
The empty set can also be described in different ways, such as by verbal description, roster notation, and set-builder notation.
| Verbal Description | All negative integers greater than 0. |
|---|---|
| Roster Notation | {} or ∅ |
| Set-Builder Notation | { x | x is a negative integer greater than 0 } |
It is worth noting that since there are no negative integers greater than zero, this description corresponds to the empty set.