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Question
Let R = {(a, a), (b, b), (c, c), (a, b)} be a relation on set A = a, b, c. Then, R is _______________ .
Options
identify relation
reflexive
symmetric
antisymmetric
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Solution
reflexive
Explanation:
Reflexivity: Since (a, a) ∈ R∀ a ∈ A, R is reflexive on A.
Symmetry: Since (a, b) ∈ R but (b, a) ∉ R, R is not symmetric on A.
⇒ R is not antisymmetric on A.
Also, R is not an identity relation on A.
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