For each of the following 3 relations on the set R a.  x R y ⇔ xy ≥ 0b.  x R y ⇔ x > y

of real numbers

c.  x R y ⇔ |x| = |y|

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

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

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