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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Give an example of an irreflexive relation on the set {x, y}.
💡 Hint: Avoid including (x, x) or (y, y).
Question 2
Easy
What is the definition of an irreflexive relation?
💡 Hint: Think about the pairs that are disallowed.
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
An irreflexive relation cannot include which of the following pairs?
- (a
- a)
- (a
- b)
- (b
- a)
💡 Hint: Focus on the definition of irreflexive relations.
Question 2
True or False: An irreflexive relation can be symmetric.
- True
- False
💡 Hint: Think about simultaneous inclusion conditions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of n elements, derive the conditions under which an irreflexive and symmetric relation can exist.
💡 Hint: Focus on distinguishing unique pairs against their reversals.
Question 2
Formulate a proof that if a relation is both irreflexive and anti-symmetric, it must only consist of pairs where the two elements are distinct.
💡 Hint: Analyze how each condition limits the inclusion of pairs distinctly.
Challenge and get performance evaluation