Question: Question 3. Consider the relation R on R defined by R = (x,y) ER x R | there exists an n E Z such that

Question 3. Consider the relation R on R defined by R = (x,y) ER x R | there exists an n E Z such that x - y = nv2). Determine, with proof, which of the following mathematical statements are true: a R is reflexive. b) R is symmetric. c) R is transitive. Is R an equivalence relation

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