Practice Powers of a Relation - 18.5 | 18. Operations on Relations | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define what a relation is in your own words.

💡 Hint: Think about how pairs represent connections.

Question 2

Easy

What does the union of two relations represent?

💡 Hint: Consider both conditions of membership.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the union of two relations represent?

  • Only overlapping pairs
  • All unique pairs in both relations
  • Pairs from the first relation only

💡 Hint: Think about combining two sets.

Question 2

True or False: The intersection of two completely disjoint relations is non-empty.

  • True
  • False

💡 Hint: Consider what disjoint means.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Determine the composition of the relations R = {(1, 2), (2, 3)} and S = {(3, 4), (4, 5)}. What is the resulting relation?

💡 Hint: Follow the paths suggested by the relations.

Question 2

If you have a set of relations R = {(1, 2), (2, 3)} and need to form a symmetric closure, show your steps.

💡 Hint: Remember to add the inverses of each pair.

Challenge and get performance evaluation