Equivalence Relations – Reflexive, Symmetric, and Transitive

A relation that is all three of reflexive, symmetric, and transitive, is called an equivalence relation. Reflexive means that every element relates to itself. Symmetry means that if one element relates to another, the same is true in the reverse. Transitive means that if a relates to b, and b relates to c, then a relates to c. When all three are true AT EVERY POINT then we call it an equivalence relation. For example, equality of numbers is an equivalence relation.

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