According to Trichotomy Law :-
When we have two Naturals Numbers a and b, then only one of the following possibilities can be true
1) a = b
2) a > b
3) a < b
This Law further elaborates that:
If a > b, ---------------(Statement 1)
then there can exist another natural number (c) which can balance the equation i.e.
a = b + c---------------(statement 2)
Now, from statement (1) and (2), we get:
a > c
E.g. There are two natural numbers i.e. 20 and 25
We can observe that
25 > 20
Now, in order to equate it we add 5 to 20 and we get the following equation:
25 = 20 + 5
And this further shows that:
25 > 5
Hence, Trichotomy Law says that:
If a > b
then a = b + c
and a > c
|
