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Question
Let A = {1, 2, 3} and B = {(1, 2), (2, 3), (1, 3)} be a relation on A. Then, R is ________________ .
Options
neither reflexive nor transitive
neither symmetric nor transitive
transitive
none of these
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Solution
transitive
Reflexivity : Since (1, 1) ∉ B, B is not reflexive on A.
Symmetry : Since (1, 2) ∈ B but (2, 1) ∉ B , B is not symmetric on A.
Transitivity : Since (1, 2)∈B, (2, 3)∈B and (1, 3)∈B, B is transitive on A.
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