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Question
Every relation which is symmetric and transitive is also reflexive.
Options
True
False
Solution
This statement is False.
Explanation:
Let R be a relation defined by
R = {(1, 2), (2, 1), (1, 1), (2, 2)} on the set A = {1, 2, 3}
It is clear that (3, 3) ∉ R.
So, it is not reflexive.
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