Practice - Lecture -20
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Prove that if A ∩ C ⊆ B ∩ C, then A ⊆ B.
💡 Hint: Use the definition of subset and intersect sets.
Define a symmetric relation.
💡 Hint: Think about how pairs can interrelate in a set.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does it mean for A ∩ C ⊆ B ∩ C?
💡 Hint: Think of the implications of the filter analogy we discussed.
True or False: In a symmetric relation, missing (a,b) implies that (b,a) is also not present.
💡 Hint: Revisit the definition of symmetry.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Can there exist a relation on a set with no overlap, yet be both symmetric and irreflexive? Justify your answer.
💡 Hint: Contrast the definitions to guide your reasoning.
Create a relation matrix for 3 elements that exemplifies a reflexive yet symmetric relation.
💡 Hint: Remember to ensure all ordered pairs considered satisfy the properties discussed.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.