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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Is the relation R = {(1, 1), (2, 3)} irreflexive?
💡 Hint: Recall that an irreflexive relation cannot contain (a, a).
Question 2
Easy
Is R = {(1, 2), (2, 1)} symmetric?
💡 Hint: Check if both directional relations 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 is an irreflexive relation?
- A relation where some elements relate to themselves
- A relation where no elements relate to themselves
- A relation with all elements relating to each other
💡 Hint: Recall the definition of irreflexive.
Question 2
True or False: Every symmetric relation is also antisymmetric.
- True
- False
💡 Hint: Think about how symmetry contradicts antisymmetry.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a relation R = {(1, 2), (2, 1), (2, 3)}, determine if R is symmetric, antisymmetric, or both.
💡 Hint: Examine the conditions set by the definitions.
Question 2
If a relation defined on a set A is both symmetric and antisymmetric, under what conditions does this occur?
💡 Hint: Think about how each definition constrains relationships.
Challenge and get performance evaluation