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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a reflexive relation on the set {a, b}.
💡 Hint: Remember that every element must relate to itself.
Question 2
Easy
What is an example of an irreflexive relation on the set {x, y}?
💡 Hint: Ensure none of the pairs (x, x) or (y, y) are included.
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 reflexive relation?
- All elements are related to one another
- Every element is related to itself
- No elements are related
💡 Hint: Think about how elements relate to themselves.
Question 2
True or False: An empty set can be both reflexive and irreflexive.
- True
- False
💡 Hint: Consider how there are no elements to contradict the definitions.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given set A = {1, 2, 3}, define a reflexive relation, then modify it to make it irreflexive without removing elements.
💡 Hint: Reflexivity requires self-relations, irreflexivity denies them.
Question 2
Is it possible to have a single relation that is both reflexive and irreflexive? Explain your reasoning.
💡 Hint: Consider what happens when you have no items at all.
Challenge and get performance evaluation