Practice Powers Of A Relation (18.5) - Operations on Relations - Discrete Mathematics - Vol 1
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Powers of a Relation

Practice - Powers of a Relation

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.