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The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is __________
  • a)
    reflective, symmetric and transitive
  • b)
    irreflexive, symmetric and transitive
  • c)
    neither reflective, nor irreflexive but transitive
  • d)
    irreflexive and antisymmetric
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} ...
Not reflexive -> (3,3) not present; not irreflexive -> (1, 1) is present; not symmetric -> (2, 1) is present but not (1, 2); not antisymmetric – (2, 3) and (3, 2) are present; not asymmetric -> asymmetry requires both antisymmetry and irreflexivity. So, it is transitive closure of relation.
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The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is __________a)reflective, symmetric and transitiveb)irreflexive, symmetric and transitivec)neither reflective, nor irreflexive but transitived)irreflexive and antisymmetricCorrect answer is option 'C'. Can you explain this answer?
Question Description
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