For each of the following 3 relations on the set R of real numbers

a.x R y xy 0

b.x R y x > y

c.x R y |x| = |y|

1.For each relation above, indicate whetherit is an equivalence relation or a partial order (show work).

2.Ifa relation aboveis a partial order, indicate whether it is a total order (show work).

3.If a relation above is an equivalence relation, describe and showits equivalence classes (show work).