Maths · Relations, type of relations, equivalence relations
What type of a relation is "Less than" in the set of real numbers?
What type of a relation is "Less than" in the set of real numbers?
- A. only symmertric
- B. only transitive
- C. only reflexive
- D. equivalence relation
Step-by-step solution
The relation 'less than' on real numbers is not reflexive because no number is less than itself. It is not symmetric because if a < b, then b is not less than a. It is transitive because if a < b and b < c, then a < c. Hence, it is only transitive.
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