1.2.2 - Symmetric Relation
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Practice Questions
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Is $R = \{(2, 4), (4, 2)\}$ a symmetric relation?
💡 Hint: Check if both $(2, 4)$ and $(4, 2)$ are present.
Is $R = \{(1, 3)\}$ a symmetric relation?
💡 Hint: Look for the reverse pair.
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Interactive Quizzes
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What is a symmetric relation?
💡 Hint: Think about reverse pairs.
If $R = \{(2, 5)\, (5, 2)\}$, is it symmetric?
💡 Hint: Check for reverse pairs.
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Challenge Problems
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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.
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.
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