determine that the relation is symmetric and transitive, Mathematics

1. Let R and S be relations on a set A. For each statement, conclude whether it is true or false. In each case, provide a proof or a counterexample, whichever applies.

(a) If R and S are transitive, then R υ S is also a transitive relation on A.

(b) If R is symmetric and transitive, then R is also reflexive.

(c) If R and S are partial orders on A, then R ∩ S is also a partial order on A.

Posted Date: 3/30/2013 3:58:14 AM | Location : United States







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