Practice Union Of Relations (18.1) - Operations on Relations - Discrete Mathematics

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6 sample questions

Question 1.
What is the union of two relations?
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Think about all unique pairs.
Question 2.
What does the intersection of two empty relations represent?
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Consider what common elements exist.
3Question 3.
Which operation combines all unique pairs from two relations?
- Union
- Intersection
- Difference
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Think about gathering relationships.
4Question 4.
True or False: The intersection of two disjoint sets is empty.
- True
- False
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Recall what disjoint means.
Question 5.
Given three relations R₁ = {(1, 2), (2, 3)}, R₂ = {(2, 1), (3, 2)}, and R₃ = {(1, 3)}, compute the reflexive and symmetric closure of the combined relation.
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Reflect on what pairs ensure reflexivity and symmetry.
Question 6.
If a directed graph shows edges (1 to 2), (2 to 3) and (3 to 1), find the second power of the relation and describe its properties.
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Track through the graph's paths as you consider powers.

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