what is anti symmetric relation explain with examples
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However, < (or >), (or on any set of numbers is not symmetric. Example 6: The relation "being acquainted with" on a set of people is symmetric.Definition(antisymmetric relation): Arelation R on a set A is calledantisymmetric if and only if for any a, and b in A, whenever <a, b> R , and <b, a> R , a = b must hold.
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can a relation can both symmetric and antisymmetric
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However, < (or >), (or on any set of numbers is not symmetric. Example 6: The relation "being acquainted with" on a set of people is symmetric.Definition(antisymmetric relation): Arelation R on a set A is calledantisymmetric if and only if for any a, and b in A, whenever <a, b> R , and <b, a> R , a = b must hold.
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