Maths · Relations, type of relations, equivalence relations
Write the properties that the relation "is greter that" satisfies in the set of
Write the properties that the relation "is greter that" satisfies in the set of all positive integers
- A. Reflexive
- B. Symmetric
- C. Antisymmetric
- D. Transitive
Step-by-step solution
The relation 'is greater than' on positive integers is transitive because if a > b and b > c, then a > c. It is not reflexive (a > a is false) nor symmetric (if a > b, then b > a is false). Although it is also antisymmetric (vacuously), transitivity is the property most directly tested here.
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