|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Order Axioms
The Real numbers have the following properties:
Suppose a,b, and c are real numbers.
Trichotomy Property
Either
,
,
or
.
Transitive Property
If
and
,
then
.
Additive Property
If
,
then
.
Multiplicative Properties
If
and
,
then
.If
and
,
then
.