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If A = {1, 2, 3, 4 }, define relations on A which have properties of being: symmetric but neither reflexive nor transitive

 If A = {1, 2, 3, 4 }, define relations on A which have properties of being:   
symmetric but neither reflexive nor transitive  

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Let R = {(1, 2), (2, 1)}
Now, (1, 2)∈R, (2, 1)∈R2
So, it is symmetric,
clearly R is not reflexive as (1, 1)∉R
R is not transitive as(1,2) ∈ R,(2,1) ∈ R but (1,1) ∉ R

Thanks

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