State true or false for the given statement : Let R = { (3, 1), (1, 3), (3, 3)} be a relation defined on the set A = {1, 2, 3}. Then, R is symmetric, transitive but not reflexive.

Answer

N/a

Explanation

Given that, R = {(3, 1), (1, 3), (3, 3)} be defined on the set A = {1, 2, 3}
`(1, 1) notin R`
So, R is not reflexive. ` (3, 1) in R, (1,3) in R`
Hence, R is symmetric.
Since, `(3,1) in R, (1, 3) in R`
But `(1,1) notin R`
Hence, R is not transitive.