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Question
Mark the correct alternative in the following question:
Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then, R is _______________ .
Options
reflexive but not symmetric
reflexive but not transitive
symmetric and transitive
neither symmetric nor transitive
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Solution
We have,
R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}
Hence, R is reflexive but not symmetric
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