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

State the reason for the relation R in the set {1,2,3}given by R={(1,2),(2,1)}not to be transitive.

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)}.Choose the correct answer. a) 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

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

Let R be a relation on the set {1,2,3} given by R={(1,1),(2,2),(1,2),(2,1), (2,3)} .Which among the following element to be included to R so that R becomes Symmetric?

Let R be relation defined on A={1,2,3} by R={(1,3),(3,1),(2,2)} is

Give a relation on a set A={1,2,3,4} which is reflexive, symmetric and not transitive.

A relation R on { 0,1,2} is given by R = { (0,0), (1,1),(0,1) , (2,2) , (1,2) } . Then the relation R is

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 all the elements of {1,3,5} are related to each other and all the elements of {2,4} are related to each other. But no element of {1, 3, 5} is related to any element of {2,4}.