a video store rents out three classes of movie dvd's - classics, run of the mill and new releases. whenever a new dvd is purchased, it is classified strictly into one of these three categories and nothing else. if this is maintained, the three categories make up a well-defined set of:

The subset of S that contains all components that are equivalent to one another is referred to as an equivalence class. The term "equivalent" depends on a certain relationship known as an equivalence relation. Any two elements are deemed equivalent if they have an equivalence relation.

A subset of the type x in X:xRa, where an is an element of X and the notation "xRy" denotes an equivalence relation between x and y, is referred to as an equivalence class. The collection of equivalence classes constitutes a partition of X because it can be demonstrated that any two equivalence classes are either equal or disjoint. If a and b are members of the same equivalence class, then we have aRb for all a,b in X.

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