Practice - Tutorial 3
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Practice Questions
Test your understanding with targeted questions
Is {2} a subset of {1, 2, 3}?
💡 Hint: Check if all elements of the first set are in the second set.
What is the definition of a symmetric relation?
💡 Hint: Consider the pairs involved in a symmetric relation.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
If (A ∩ C) ⊆ (B ∩ C), can we conclude A ⊆ B?
💡 Hint: Think about how intersections dictate membership.
Does an anti-symmetric relation allow both (a, b) and (b, a) if a ≠ b?
💡 Hint: Recall the definition carefully.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Demonstrate with a concrete example how a relation can be both symmetric and irreflexive.
💡 Hint: Ensure no self-pairs are included for irreflexivity.
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.
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