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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Is {2} a subset of {1, 2, 3}?
💡 Hint: Check if all elements of the first set are in the second set.
Question 2
Easy
What is the definition of a symmetric relation?
💡 Hint: Consider the pairs involved in a symmetric relation.
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
If (A ∩ C) ⊆ (B ∩ C), can we conclude A ⊆ B?
- True
- False
💡 Hint: Think about how intersections dictate membership.
Question 2
Does an anti-symmetric relation allow both (a, b) and (b, a) if a ≠ b?
- True
- False
💡 Hint: Recall the definition carefully.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Demonstrate with a concrete example how a relation can be both symmetric and irreflexive.
💡 Hint: Ensure no self-pairs are included for irreflexivity.
Question 2
Create a scenario where a non-empty set contains both reflexive and irreflexive relations, detailing how this is possible.
💡 Hint: Reflect on the definitions carefully for overlaps.
Challenge and get performance evaluation