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Trichotomy Law
Trichotomy Law | Transitivity of Order Relation |
| 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 e.g. In given two natural numbers 20 and 25, find which is a greater natural number. We can very easily find that 25 > 20, But lets try to get more clear understanding of this. To elaborate Natural number 25 is obtained from 20 by adding 5 to it. so 25 = 20 + 5 Thus, 25 > 20 and this means that natural number 25 can be obtained by adding 5 to 20. Following points to remember:- If a > b, then there can exist another natural number c, which can balance the equation i.e a = b + c Now, by combing both the equations; a > b & a = b + c This give us a > b and a > c |
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