Show that the relation R in the set `{1,2,3}` given by `R = {(1,2), (2,1)` is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1,2,3} given by R = {(1,1) ,(2,2),(3,3) , (1,2) ., (2,3)} is reflexive but neither symmetric nor transitive.

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

Give an example of a relation which is symmetric but neither reflexive nor transitive.

The relation R in the set {1,2,3} given by R= {(1,1),(2,2),(3,3),(1,2),(2,3)} is not transitive. Why?

Show that the relation R in the set A={1,2,3,4,5} given by R={(a,b) : |a-b| is even}, is an equivalence relation.

Show that the relation R in the set A= {1,2,3,4,5} given by R= "{"(a,b):|a-b| is even} is an equivalence relation.

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

A relation R on A ={1,2,3} defined by R= {(1,1),(1,2),(3,3)} is not symmetric. Why?

Show that the relation R in the set of integers given by R= {(a,b) : 5 divides (a - b)} is symmetric and transitive.