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3 cards from this section. Quick, good the night before a test.
Define a symmetric relation.
What must be true for pairs in symmetric relations?
Give an example of a symmetric relation in everyday life.
Think of a reciprocal relationship.
Which of the following defines a symmetric relation?
Think about the mutual involvement of pairs.
True or False: A symmetric relation must contain both (a, b) and (b, a) for all elements.
Consider what happens when pairs are not included.
Given a set of n elements, determine the total possible symmetric relations and explain the reasoning.
Recall how symmetry pairs require mutual inclusion.
Consider the set A = {1, 2, 3}. Construct all symmetric relations possible and classify them.
List all pairs and check if they fulfill the symmetry condition.
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