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4 cards from this section. Quick, good the night before a test.
What is an irreflexive relation?
Think about what happens with self-loops.
Can a relation be both reflexive and irreflexive? Under what condition?
Consider the implications of having no elements.
What is a symmetric relation?
Think about pairs relating to each other.
True or False: An empty relation can be considered symmetric.
Remember the conditions for relations in the absence of elements.
Given a set A = {1, 2, 3, 4} and a relation defined as R = {(1, 2), (2, 1), (3, 4)}, determine if R is symmetric, asymmetric, or neither.
Identify the pairs and their relationships.
Prove or disprove: A relation can be both asymmetric and antisymmetric.
Consider the definitions closely.
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