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

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

Determine whether the relation R in the set A = {1,2,3,4,5,6} as R = {(x,y) : y is divisible by x} is reflexive, symmetric and transitive.

Determine whether the relation R in the set A = {1,2,3,…..13,14} defined as R = {(x, y):3x -y=0} is reflexive symmetric and transitive.

Check whether the relation R in IR of real numbers defined by R={(a,b): a lt b^(3)} is reflexive, symmetric or transitive.

Determine whether the relation R in the set A={1,2,3,..........13,14} defined as R={(x-y),3x-y=0} is reflexive, symmetric and transitive.

Let R be the realtion defined in the set A = {1,2,3,4,5,6,7} by R ={(a,b): both a and b are either odd or even}. Show that R is an related to each other and all the elements of the subset {2,4,6} are related to each other, but no element of the subset {1,3,5,7} is related to any element of the subset {2,4,6}.

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.