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"The logical expression for the symmetric relation should contain the biconditional operator <-> instead of implication -> . Because, if u keep ->, then for the case when F -> T the implication still holds true which means if b,a E R is T then it means it doesn't matter if a,b E Ris T/F R will be symmetric." Could someone plz help, this seems to be correct. Also   https://en.wikipedia.org/wiki/Symmetric_relation.

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