Relations
The relation 'less than' on the set of real numbers R is
Select the correct option:
Solution
Transitive
Relation: x<y.
- Reflexive: x<x is false for all real numbers. Thus, not reflexive.
- Symmetric: If 2<5, is 5<2? No. Thus, not symmetric.
- Transitive: If x<y and y<z, then x must be less than z. (Transitive)
- Identification: This is a Strict Partial Order relation.
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About This Question
- Subject
- mathematics
- Chapter
- sets, relations and functions
- Topic
- relations
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Transitive
Relation: x<y.
- Reflexive: x<x is false for all real numbers. Thus, not reflexive.
- Symmetric: If 2<5, is 5<2? No. Thus, not symmetric.
- Transitive: If x<y and y<z, then x must be less than z. (Transitive)
- Identification: This is a Strict Partial Order relation.
This easy difficulty mathematics question is from the chapter sets, relations and functions, covering the topic of relations. It appeared in the 2025 exam.
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