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2 cards from this section. Quick, good the night before a test.
Define a binary relation using sets A = {1, 2, 3} and B = {a, b}.
Remember to pair elements from A to those in B.
What does reflexivity mean in terms of relations?
Consider how elements interact with themselves.
What is a binary relation?
Think about how relations link elements from two different sets.
True or False: A reflexive relation can contain elements that do not relate to themselves.
Revisit the definition of reflexivity.
Prove that if R is a reflexive relation on a set A, then R must include (a, a) for every a in A.
Refer back to the definition of reflexivity.
Given sets A = {1, 2, 3} and B = {x, y}, list all possible binary relations and count them.
Consider how many ways you can select pairs from the Cartesian product.
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