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

Practice - Another Example with Divide Relationship

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define partial ordering.

💡 Hint: Think about what properties must hold true.

Question 2 Easy

What does '2 | 4' mean?

💡 Hint: Consider the definition of division in integers.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following properties defines a partial order?

Reflexive
Symmetric
Transitive
Reflexive
Antisymmetric
Transitive

💡 Hint: Think about the definitions of the properties.

Question 2

True or False: All elements in a total order are incomparable.

True
False

💡 Hint: Recall the definition of total ordering.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider the integers from 1 to 10. Identify which pairs are comparable using the divide relationship.

💡 Hint: Check each integer's ability to divide the other.

Challenge 2 Hard

Create a Hasse diagram representing the set {1, 2, 4, 8} under the divide relationship.

💡 Hint: Don't forget to follow Hasse diagram simplification rules.

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