What is equivalence relation? Explain use of equivalence relation with the help of an example?
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Step-by-step explanation:
A relation between elements of a set which is reflexive, symmetric, and transitive and which defines exclusive classes whose members bear the relation to each other and not to those in other classes known as equivalence.
Use of equivalence relation with with the help of an example are :-
Equivalence relations are often used to group together objects that are similar, or “equiv- alent”, in some sense.
Example: The relation “is equal to”, denoted “=”, is an equivalence relation on the set of real numbers since for any x, y, z ∈ R: 1.
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