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.

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.

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.

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

The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} Is R an equivalance relation

Check whether the relation R in R defined by R={(a,b):a lt= b^3} is reflexive, symmetric or 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 a relation on a set A={1,2,3,4} which is reflexive, symmetric and not 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}.

Consider the relation in the set N of natural numbers defined as R={(a,b):ab is a factor of 6}. Determine whether the relation is reflexive, symmetric or transitive.