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Practice Questions
Test your understanding with targeted questions related to the topic.
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.
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 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.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation