Practice Interpretation Of Powers Of Relation (18.6)

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6 sample questions

Question 1.
What is the union of R = {(1, 2)} and S = {(2, 3)}?
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Combine all pairs from both R and S.
Question 2.
Identify whether the intersection of A = {(1, 2)} and B = {(2, 1)} is empty.
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Look for common pairs between both sets.
3Question 3.
What does the union of two relations entail?
- Combining all unique pairs from both sets.
- Finding common pairs.
- Determining relational paths.
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Think about how you would gather pairs together.
4Question 4.
True or False: The composition of relations is commutative.
- True
- False
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Consider examples of relation orders.
Question 5.
Given a directed graph of 5 vertices with edges: {(1,2), (2,3), (3,4), (4,1)}, determine the transitive closure.
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Keep tracking the paths through adjacent vertices.
Question 6.
Construct an example of a relation that is reflexive and symmetric but not transitive.
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Try building pairs while keeping those rules in mind.

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