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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a reflexive relation.
💡 Hint: Think about pairs (x, x) for elements in the set.
Question 2
Easy
What makes a relation irreflexive?
💡 Hint: Consider the opposite of reflexive.
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 must a reflexive relation always include?
- (x
- y)
- (a
- b)
- (a
- a)
💡 Hint: Link to the definition of reflexivity.
Question 2
Is it possible for a relation to be both reflexive and irreflexive?
- True
- False
💡 Hint: Consider the implications of both terms.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that a set relation cannot be both reflexive and irreflexive by using a set S of size n.
💡 Hint: Focus on defining elemental constraints.
Question 2
Given a relation is defined such that for every set element, at least one diagonal element exists while excluding some, how would you categorize that set?
💡 Hint: Consider pair distributions.
Challenge and get performance evaluation