Practice Binary Relations (16.2.2) - Relations - Discrete Mathematics - Vol 1
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Binary Relations

Practice - Binary Relations

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a binary relation using sets A = {1, 2, 3} and B = {a, b}.

💡 Hint: Remember to pair elements from A to those in B.

Question 2 Easy

What does reflexivity mean in terms of relations?

💡 Hint: Consider how elements interact with themselves.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a binary relation?

A single ordered pair
A subset of the Cartesian product of two sets
A property of a single set

💡 Hint: Think about how relations link elements from two different sets.

Question 2

True or False: A reflexive relation can contain elements that do not relate to themselves.

True
False

💡 Hint: Revisit the definition of reflexivity.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that if R is a reflexive relation on a set A, then R must include (a, a) for every a in A.

💡 Hint: Refer back to the definition of reflexivity.

Challenge 2 Hard

Given sets A = {1, 2, 3} and B = {x, y}, list all possible binary relations and count them.

💡 Hint: Consider how many ways you can select pairs from the Cartesian product.

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Reference links

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