Question

Determine whether the relation R on N is reflexive, symmetric, and/or transitive. Prove your answer.

a)R = {(x,y) : x,y ∈N,2|x,2|y}.

b)R = {(x,y) : x,y ∈ A}. A = {1,2,3,4}

c)R = {(x,y) : x,y ∈N,x is even ,y is odd }.

Answer 1