What is an antisymmetric relation?
What is an antisymmetric relation?
- A.
A relation where if a is related to b, then b is not related to a
- B.
A relation where if a is related to b and b is related to a, then a must equal b
- C.
A relation where every element is related to itself
- D.
A relation where every element is related to every other element
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Correct answer: B
A relation R on a set A is said to be antisymmetric if for every pair (a, b) and (b, a) in R, a must equal b.