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Assume the R is a relation on a set A, aRb is partially ordered such that a and b are _____________
  • a)
    Reflexive
  • b)
    Transitive
  • c)
    Symmetric
  • d)
    Reflexive and transitive
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Assume the R is a relation on a set A, aRb is partially ordered such t...
A partially ordered relation refers to one which is Reflexive, Transitive and Antisymmetric.
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Assume the R is a relation on a set A, aRb is partially ordered such t...
Reflexivity:
- For a relation to be reflexive, every element in the set A must be related to itself. In this case, since aRb is partially ordered, a should be related to itself. This property holds true for aRb.

Transitivity:
- Transitivity in a relation means that if a is related to b and b is related to c, then a should also be related to c. In the given relation aRb, if a is related to b and b is related to c, then a should also be related to c. This property holds true for aRb.
Therefore, the relation aRb is both reflexive and transitive, satisfying the conditions for a partially ordered relation. This is why the correct answer is option 'D' - reflexive and transitive.
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Assume the R is a relation on a set A, aRb is partially ordered such that a and b are _____________a)Reflexiveb)Transitivec)Symmetricd)Reflexive and transitiveCorrect answer is option 'D'. Can you explain this answer?
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