Question

For any two real numbers, a and b one and only one of these relations is true:
1. a = b
2. a < b
3. a > b

Answer 1

Answer:

For real numbers according to the Law of Trichotomy,

if a = b then a will never be greater than b and a will never be less than a.

if a<b then a will never be equal to b and a will never be greater than b.

if a>b then a will never be less than b and a will never be equal to b.

And vice versa to b as well.

That means only one property will hold for given two numbers.