Practice Definition Of Relation (16.2.1) - Relations - Discrete Mathematics

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6 sample questions

Question 1.
Define a relation in your own words.
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Think of connections between cities and their respective countries.
Question 2.
What does it mean for a relation to be a subset?
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Look for a smaller group within a larger group.
3Question 3.
What is a relation?
- A set of numbers
- A subset of Cartesian products
- An ordered list
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Think of how we connect elements from two sets.
4Question 4.
True or False: A relation can only exist between two different sets.
- True
- False
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Consider an example where elements relate to themselves.
Question 5.
Given sets A = {a, b, c} and B = {1, 2}, write all possible pairs in AxB and form a relation including at least one subset.
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List all pairs then select some to form a relation.
Question 6.
If a relation from A to B is given as R = {(1, 2), (2, 3)}, explain why it is not reflexive.
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Check for self-relating pairs in the definition.

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