Question: a) Suppose R is a symmetric relation over set A. Prove or disprove that R2 is symmetric. b) Suppose R and S are transitive relations

a) Suppose R is a symmetric relation over set A. Prove

a) Suppose R is a symmetric relation over set A. Prove or disprove that R2 is symmetric. b) Suppose R and S are transitive relations over set A. Prove or disprove that SR is transitive. c) Consider the following relation R over the integers (Z).R={(a,b)Z2:kZa=kb}. (a) Prove or disprove whether R is reflexive (b) Prove or disprove whether R is symmetric (c) Prove or disprove whether R is anti-symmetric

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