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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a symmetric relation.
💡 Hint: What must be true for pairs in symmetric relations?
Question 2
Easy
Give an example of a symmetric relation in everyday life.
💡 Hint: Think of a reciprocal relationship.
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
Which of the following defines a symmetric relation?
- If (a
- b) is in R
- then (b
- a) must also be in R.
- If (a
- b) is in R
- then (b
- c) must also be in R.
- If (a
- b) is not in R
- then (b
- a) must not be in R.
💡 Hint: Think about the mutual involvement of pairs.
Question 2
True or False: A symmetric relation must contain both (a, b) and (b, a) for all elements.
- True
- False
💡 Hint: Consider what happens when pairs are not included.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of n elements, determine the total possible symmetric relations and explain the reasoning.
💡 Hint: Recall how symmetry pairs require mutual inclusion.
Question 2
Consider the set A = {1, 2, 3}. Construct all symmetric relations possible and classify them.
💡 Hint: List all pairs and check if they fulfill the symmetry condition.
Challenge and get performance evaluation