Question

Let R be the relation in the set {1,2,3,4} given by R ={(1,2), (2,2), (1,1),(4,4),
(1,3), (3,3), (3,2)}. Then show that R is reflexive and transitive but not symmetric
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Answer 1

Answer:

Step-by-step explanation:

Here A={1,2,3,4}

and R={(1,2),(2,2),(1,1),(4,4),(1,3),(3,3),(3,2)}

Clearly, R is reflexive but not symmetric as (1,2)∈R but (2,1)∈/R. Also R is

transitive. Hence, R is reflexive and transitive but not symmetric.