Practice Powers Of A Relation (18.5) - Operations on Relations - Discrete Mathematics

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6 sample questions

Question 1.
Define what a relation is in your own words.
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Think about how pairs represent connections.
Question 2.
What does the union of two relations represent?
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Consider both conditions of membership.
3Question 3.
What does the union of two relations represent?
- Only overlapping pairs
- All unique pairs in both relations
- Pairs from the first relation only
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Think about combining two sets.
4Question 4.
True or False: The intersection of two completely disjoint relations is non-empty.
- True
- False
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Consider what disjoint means.
Question 5.
Determine the composition of the relations R = {(1, 2), (2, 3)} and S = {(3, 4), (4, 5)}. What is the resulting relation?
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Follow the paths suggested by the relations.
Question 6.
If you have a set of relations R = {(1, 2), (2, 3)} and need to form a symmetric closure, show your steps.
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Remember to add the inverses of each pair.

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