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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Is $R = \{(2, 4), (4, 2)\}$ a symmetric relation?
💡 Hint: Check if both $(2, 4)$ and $(4, 2)$ are present.
Question 2
Easy
Is $R = \{(1, 3)\}$ a symmetric relation?
💡 Hint: Look for the reverse pair.
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 is a symmetric relation?
💡 Hint: Think about reverse pairs.
Question 2
If $R = \{(2, 5)\, (5, 2)\}$, is it symmetric?
- True
- False
💡 Hint: Check for reverse pairs.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given three relations, $R_1 = \{(1, 2), (2, 1), (1, 3)\}$, $R_2 = \{(1, 2), (2, 3), (3, 1)\}$, and $R_3 = \{(5, 5), (6, 6)\}$, identify which ones are symmetric.
💡 Hint: Check each relation for reverse pairs.
Question 2
Create a symmetric relation on a set with 4 elements. Explain your relation and why it is symmetric.
💡 Hint: Include at least 4 elements with proper pairing.
Challenge and get performance evaluation