Practice Relations (16.1) - Relations - Discrete Mathematics

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9 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define what a relation is in your own words.
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Think about pairs coming from two different sets.
Question 2.
Give an example of a binary relation.
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Consider relationships in terms of pairs from two sets.
3Question 3.
What is a relation?
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Think about pairs from two different sets.
4Question 4.
True or False: A reflexive relation must have at least one element in a set.
- True
- False
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Consider the case when no elements are present.
Question 5.
Given sets A = {x, y, z} and B = {1, 2}, create three different binary relations and discuss their properties.
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Think about how each relation captures different aspects of interaction.
Question 6.
If set A = {a, b} and set B = {1, 2} are given, can you represent a reflexive relation in a matrix that also shows one additional non-reflexive pair?
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Be creative with your definitions, but keep reflexivity in mind!

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