Practice Interpretation Of Powers Of Relation (18.6) - Operations on Relations
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Interpretation of Powers of Relation

Practice - Interpretation of Powers of Relation

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the union of R = {(1, 2)} and S = {(2, 3)}?

💡 Hint: Combine all pairs from both R and S.

Question 2 Easy

Identify whether the intersection of A = {(1, 2)} and B = {(2, 1)} is empty.

💡 Hint: Look for common pairs between both sets.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the union of two relations entail?

Combining all unique pairs from both sets.
Finding common pairs.
Determining relational paths.

💡 Hint: Think about how you would gather pairs together.

Question 2

True or False: The composition of relations is commutative.

True
False

💡 Hint: Consider examples of relation orders.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a directed graph of 5 vertices with edges: {(1,2), (2,3), (3,4), (4,1)}, determine the transitive closure.

💡 Hint: Keep tracking the paths through adjacent vertices.

Challenge 2 Hard

Construct an example of a relation that is reflexive and symmetric but not transitive.

💡 Hint: Try building pairs while keeping those rules in mind.

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