Let A = {(x,y) R^2: x! = 0 and y != 0}, and let ~ be the relation on A given by (x,y)~ (z,w) if xz … Show more Let A = {(x,y) R^2: x! = 0 and y != 0}, and let ~ be the relation on A given by (x,y)~ (z,w) if xz > 0 or yw > 0. Prove that is not an equivalence relation. • Show less