If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is

Question

Philoid · Accepted Answer

Given that, R on the set {1, 2, 3} be defined by R = {(1, 2)}

Now,

R is not reflexive ∵ (1,1),(2,2),(3,3) ∉ R

R is not symmetric ∵ (1,2)∈ R but (2,1) ∉ R

R is not transitive ∵ R has only one ordered pair.

Thus, R is neither reflexive nor transitive nor symmetric.

Hence, option ‘D’ is corect.