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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a symmetric relation in your own words.
💡 Hint: Think about bilateral relationships.
Question 2
Easy
Is the relation {(1, 1), (1, 2)} symmetric?
💡 Hint: Check to see if the opposite pairs exist.
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 defines a symmetric relation?
- If (a
- b) implies (b
- a)
- If (a
- b) implies (a
- c)
- If (a
- a) is always present
💡 Hint: Consider the pairs and their relationships.
Question 2
True or False: A reflexive relation is always symmetric.
- True
- False
💡 Hint: Remember an example where reflexive does not mean symmetric.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Construct a symmetric relation for a set A = {1, 2, 3} and explain its properties.
💡 Hint: Ensure all necessary reciprocate pairs are included.
Question 2
Prove whether a relation defined as R = {(1, 2), (2, 3), (1, 3)} can be symmetric.
💡 Hint: Check for reciprocal relationships.
Challenge and get performance evaluation