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a) Let Q be a relation defined on a set B. Prove or disprove: If Q is not symmetric, then Q must be antisymmetric. b) Let R be a relation defined on...
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a) Let Q be a relation defined on a set B. Prove ordisprove: If Q is not symmetric, then Q must beantisymmetric.b) Let R be a relation defined on a set A and S be arelation defined on a set B. Prove or disprove: If R andS are both transitive, then R n S is transitive.