Reflexive relation Guide, Meaning , Facts, Information and Description

In mathematics, a binary relation R over a set X is reflexive if for all a in X, a is related to itself.

In notation, this is:

For example, "is greater than or equal to" is a reflexive relation but "is greater than" is not.

Examples of transitive relations include:

• "is equal to" (equality)
• "is a subset of" (set inclusion)
• "is less than or equal to" and "is greater than or equal to" (inequality)
• "divides" (divisibility)

A reflexive relation that is also transitive is a preorder. A preorder that is antisymmetric is a partial order. A preorder that is symmetric is an equivalence relation.

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