Practice Another Example With Divide Relationship (23.3.3) - Partial Ordering

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6 sample questions

Question 1.
Define partial ordering.
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Think about what properties must hold true.
Question 2.
What does '2 | 4' mean?
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Consider the definition of division in integers.
3Question 3.
Which of the following properties defines a partial order?
- Reflexive
- Symmetric
- Transitive
- Reflexive
- Antisymmetric
- Transitive
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Think about the definitions of the properties.
4Question 4.
True or False: All elements in a total order are incomparable.
- True
- False
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Recall the definition of total ordering.
Question 5.
Consider the integers from 1 to 10. Identify which pairs are comparable using the divide relationship.
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Check each integer's ability to divide the other.
Question 6.
Create a Hasse diagram representing the set {1, 2, 4, 8} under the divide relationship.
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Don't forget to follow Hasse diagram simplification rules.

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