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4 cards from this section. Quick, good the night before a test.
What does it mean for a relation to be reflexive?
Think about how elements relate to themselves.
List one property of equivalence relations.
Recall the three key properties.
Which property is NOT required for a relation to be an equivalence relation?
Think about the definitions of these properties.
True or False: Two equivalence classes can share some elements.
Recall the property of equivalence classes regarding their separation.
Given the set of integers Z and the relation defined by modulo 5, calculate and list all equivalence classes.
Consider what numbers share the same remainder when divided by 5.
Prove or disprove: There exists integers a and b such that a ≡ b (mod m) but a is not equal to b.
Look at how properties of congruence work under different moduli.
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