Question

State any two order axioms of real numbers.

Answer 1

Answer:

There is a relation > on R.

(That is, given any pair a, b then a > b is either true or false).

It satisfies:

a) Trichotomy: For any a ∈ R exactly one of a > 0, a = 0, 0 < a is true.

b) If a, b > 0 then a + b > 0 and a.b > 0

c) If a > b then a + c > b + c for any c

Step-by-step explanation: