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Let A be any set with more than one element. Then there exists a binary relation R on A such that all of the following

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Let A be any set with more than one element. Then there exists a binary relation R on A such that all of the following are true: 1) R is symmetric 2) R is antisymmetric 3) R is transitive 4) R is not reflexive 5) R's complement is not reflexive (that is, R is not antireflexive) (Sorry, this had the conditions on A instead of R until 6:23 pm Wednesday.) (And 11:30 p.m. Thursday I fixed #5 to say "not antireflexive".) Select one: True O False

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