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4 cards from this section. Quick, good the night before a test.
What is an irreflexive relation? Provide an example.
Think of pairs that don't include (a, a).
Define a symmetric relation with an example.
Check for reciprocal pairs.
What characterizes an irreflexive relation?
Think about self-loops in a graph.
Can a relation be both symmetric and irreflexive?
Imagine relations without self-connections.
Consider the relation R = {(1, 2), (2, 3), (1, 3), (3, 1)}. Is it transitive, symmetric, or both? Justify your answer.
Check for flowing relationships versus reciprocal ones.
Create a set and relation that is both antisymmetric and irreflexive, and explain your reasoning.
Think about the elements' distinctness and their relationships.
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