Practice Definition Of Relation (16.2.1) - Relations - Discrete Mathematics - Vol 1
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Definition of Relation

Practice - Definition of Relation

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a relation in your own words.

💡 Hint: Think of connections between cities and their respective countries.

Question 2 Easy

What does it mean for a relation to be a subset?

💡 Hint: Look for a smaller group within a larger group.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a relation?

A set of numbers
A subset of Cartesian products
An ordered list

💡 Hint: Think of how we connect elements from two sets.

Question 2

True or False: A relation can only exist between two different sets.

True
False

💡 Hint: Consider an example where elements relate to themselves.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given sets A = {a, b, c} and B = {1, 2}, write all possible pairs in AxB and form a relation including at least one subset.

💡 Hint: List all pairs then select some to form a relation.

Challenge 2 Hard

If a relation from A to B is given as R = {(1, 2), (2, 3)}, explain why it is not reflexive.

💡 Hint: Check for self-relating pairs in the definition.

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Reference links

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