check whether the relation R defined pm the set A ={1,2,3,4,5,6} as R={(A,B):b=a+1} is reflexive,symmetric or transitive. Share with your friends Share 4 Varun.Rawat answered this Reflexivity: Letabeanarbitraryelementof R.Then,a=a+1 cannot be true for all a∈A.⇒a, a∉R So, R is not reflexive on A. Symmetry: Let a, b∈R⇒b=a+1⇒-a=-b+1⇒a=b-1Thus, b, a∉RSo, R is not symmetric on A. Transitivity: Let 1, 2 and 2, 3∈R⇒2=1+1 and 3 2+1 is true.But 3 ≠ 1+1⇒1, 3∉RSo, R is not transitive on A. 1 View Full Answer