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

Give an example of a relation, which is Symmetric but neither reflexive 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 A={1,2,3} . Give an example of a relation on A which is Symmetric but neither reflexive nor transitive.

Show that the relation R in the set R of real number, defined as R = {(a.b): a lt= b^2} is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R of Real numbers defined as R={(a,b):aleb^2} is neither reflexive, nor symmetric, nor transitive.

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}.

Check whether the relation R defined in the set {1,2,3,4,5,6} as R={(a,b) : b=a+1} is reflexive, symmetric or transitive.

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

The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} Chech whether R is reflexive, symmetric and transitive.