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If A = {1, 2, 3, 4 }, define relations on A which have properties of being: reflexive, symmetric and transitive.

 If A = {1, 2, 3, 4 }, define relations on A which have properties of being:
reflexive, symmetric and transitive. 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Let
R = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)}
R is reflexive as (1, 1) (2, 2) and (3, 3)∈R1
R is symmetric as(1,2),(1,3),(2,3)∈R1⇒(2,1),(3,1),(3,2)∈R1
Thus, R is reflexive, symmetric and transitive .
Thanks

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