That is, if [i, j] == 1, and [i, k] == 1, set [j, k] = 1. Menu. Identity relation. Note: If a +1 button is dark blue, you have already +1'd it. More on transitive closure here transitive_closure. Example: 19151--> 1915-1 =1914 -->191-4=187 -->18-7=11, so yes, 19151 is divisible by 11. Sets and Functions - Reflexive - Symmetric - Antisymmetric - Transitive by: Staff Question: by Shine (Saudi Arabia) Let R be the relation on the set of real numbers defined by x R y iff x-y is a rational number. 4. If you like this Page, please click that +1 button, too.. Reflexive Relation is reflexive If (a, a) ∈ R for every a ∈ A Symmetric Relation is symmetric, If (a, b) ∈ R, then (b, a) ∈ R Transitive Relation is transitive, If (a, b) ∈ R & (b, c) ∈ R, then (a, c) ∈ R If relation is reflexive, symmetric and transitive, it is an equivalence relation . Start Here; Our Story; Hire a Tutor; Upgrade to Math Mastery. 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