Intermediate
Discrete Mathematics & Math
Q67 / 100
What does it mean for a relation R on set A to be antisymmetric?
Correct! Well done.
Incorrect.
The correct answer is B) For all a, b in A, if aRb and bRa then a = b
B
Correct Answer
For all a, b in A, if aRb and bRa then a = b
Explanation
Antisymmetry forbids two distinct elements from relating to each other in both directions: aRb and bRa together force a = b. The divisibility relation "a | b" on positive integers is antisymmetric, which is part of why it forms a partial order.
Progress
67/100