Question

Define a relation on Z by setting x R y if xy is even. Give a counterexample to show that R is not transitive. Find an ordered triple (a, b, c) satisfying the following. a R b and b R c, but a Not Related c (a, b, c) =

Answer 1

3*2 is even 2*7 is even but 3*7 is not even (3,2,7)