Practice Representation Of Binary Relations (16.2.4) - Relations - Discrete Mathematics

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6 sample questions

Question 1.
Define what a binary relation is.
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Think about how sets interact with each other.
Question 2.
What does a matrix representation of a binary relation do?
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Consider what 1 and 0 might represent in the context of relations.
3Question 3.
What is a binary relation?
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Think about how we define relationships in mathematics.
4Question 4.
True or False: Every binary relation has at least one pair.
- True
- False
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Consider the definition of how relations can be formed.
Question 5.
Given sets A = {1, 2, 3} and B = {A, B}, list all possible binary relations between these sets and determine the number of distinct relations.
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Think about how many combinations there can be from A x B.
Question 6.
Construct a directed graph for the relation R defined on set A = {1, 2} with entries {(1, 1), (1, 2), (2, 2)}. Identify the type of relation.
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Check if all elements in set A connect back to themselves.

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