The trichotomy property of real numbers states that, for any two real numbers a and b, exactly one of the following is true:
For any equivalence relation R on set A, the relation is trichotomous if for all x and y in A exactly one of
A trichotomous relation is not symmetric, not reflexive, but is transitive.
|Symmetric property||A trichotomous relationship is not symmetric. For example, the statement 3<3 is always false.|
|Reflexive property||A trichotomous relationship is not reflexive. For example, 3 is less than 4, but 4 is not less than 3.|
|Transitive property||A trichotomous relationship is typically transitive. For example, 3<4, 4<5, and 3<5.|
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