Answer to Question #290218 in Discrete Mathematics for Haider

Question

Let A = {2, 4, 6, 8, 10} and B = {3, 6, 9, 12, 15} and define relations R and S from X to Y as

follows:

 for all (x,y) ∈A × B, x R y ⇔ y % x

 for all (x,y) ∈A × B, x S y ⇔ (y – 4)+2 = x

State explicitly which ordered pairs are in A × B, R, S and type of relation