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A relation R on set A satisfies: (a1, a2) in R implies (a2, a1) in R, for all a1, a2 in A. This property defines which type of relation?

1. equivalence relation
2. reflexive relation
3. symmetric relation
4. universal relation

Correct answer: symmetric relation

Solution

Whenever (a1, a2) being in R forces (a2, a1) to also be in R, the relation is symmetric by definition.

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