Define Symmetric Relation.
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A symmetric relation is a type of binary relation. An example is the relation "is equal to", because if a = b is true then b = a is also true. Formally, a binary relation R over a set X is symmetric if: {\displaystyle \forall a, b\in X.} If Rᵀ represents the converse of R, then R is symmetric if and only if R = Rᵀ.
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A symmetric relation is a type of binary relation. An example is the relation "is equal to", because if a = b is true then b = a is also true. Formally, a binary relation R over a set X is symmetric if: If RT represents the converse of R, then R is symmetric if and only if R = RT.
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