Let `R` be the relation on the set `A={1,\ 2,\ 3,\ 4}` given by `R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)}` . Then, `R` is reflexive and symmetric but not transitive (b) `R` is reflexive and transitive but not symmetric (c) `R` is symmetric and transitive but not reflexive (d) `R` is an equivalence relation

Answer

b) R is reflexive & Transitive but not symmetric.

Explanation

Consider, `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) in R `

but `(2,1) in R `.Also R is transitive.


Hence, R is reflexive and transitive but not symmetric.