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1 let r and r be relations on a set a a show that r r is reflexive if
Question
1. Let R₁ and R₂ be relations on a set A. (a) Show that R₁ R₂ is reflexive if and only if R₁ and R₂ are reflexive. (b) Show that if
R₁ and R₂ are both transitive, then the relation R₁ R₂ on A is transitive.