) Consider the relation R on the positive integers defined by the following recursive definition: • (1, 1) ∈ R. • If (x, y) ∈ R, then (x, y + x) ∈ R and (y, y) ∈ R. 1(a). (10 pts.) Is R an equivalence relation? Either prove R is an equivalence relation or explain why it is not. 1(b). (5 pts.) Is R transitive? Justify your answer