Relation defined in a set E so that, for every distinct pair of elements (

*x*,*y)*of E, either one of the ordered pairs (*x*,*y*) or (*y*,*x*) belong to the relation.The arrow diagram of a connected relation in a set E includes at least one arrow between any two elements of E.

### Examples

- The relation “…is less than…” in a set of whole numbers is a connected relation.

Here is an arrow representation in the set E = [1, 2, 3, 4, 5}:

- The relation “…is greater than…” in a set of people is a connected relation.
- The relation “…is the same age as…” in a family is a disconnected relation.
- The relation “…is a multiple of…” in the set of whole numbers is a disconnected relation.