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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a relation in your own words.
💡 Hint: Think about how elements from two sets can be paired.
Question 2
Easy
What is a reflexive relation? Give an example.
💡 Hint: Consider a relation that includes pairs of the same elements.
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 defines a relation in mathematics?
- A set of single elements
- A subset of the Cartesian product of two sets
- A collection of functions
💡 Hint: Think about how we can pair elements from two sets.
Question 2
True or False: A symmetric relation must also be reflexive.
💡 Hint: Consider whether all elements must relate to themselves.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a set A and a relation R that is reflexive, symmetric, and transitive but has no additional pairs (like anti-symmetry). Explain your reasoning.
💡 Hint: Consider how adding pairs affects the properties you are establishing.
Question 2
Given a relation R = {(1, 2), (2, 3), (3, 4)}, is it transitive? Justify your answer.
💡 Hint: Check pairs for forward chaining to verify transitivity.
Challenge and get performance evaluation