Question: 2. Let R be a relation on a set A. Then R = (A x A) R is also a relation on A. Prove or

2. Let R be a relation on a set A. Then R = (A x A) R is also a relation on A. Prove or disprove each of the following statements: 1. If R is reexive, then R is reexive. 2. If R is symmetric, then_ R is syrmnetric. 3. If R is transitive, then R is transitive

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