give an example of a relation which is reflexive and transitive but not symmetric
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give an example of a relation which is reflexive and transitive but not symmetric
Let S = {1,2,3} and let R = {(1,1), (2,2), (3,3), (1,2)}. Then R is reflexive since (s,s) is in R for every element s of S, but R is not symmetric since (1,2) is in R but (2,1) is not in R.
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