Practice Symmetric Relation (1.2.2) - Relations and Functions

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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Is $R = \{(2, 4), (4, 2)\}$ a symmetric relation?
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Check if both $(2, 4)$ and $(4, 2)$ are present.
Question 2.
Is $R = \{(1, 3)\}$ a symmetric relation?
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Look for the reverse pair.
3Question 3.
What is a symmetric relation?
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Think about reverse pairs.
4Question 4.
If $R = \{(2, 5)\, (5, 2)\}$ , is it symmetric?
- True
- False
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Check for reverse pairs.
Question 5.
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.
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Check each relation for reverse pairs.
Question 6.
Create a symmetric relation on a set with 4 elements. Explain your relation and why it is symmetric.
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Include at least 4 elements with proper pairing.

5 more questions in this section. Enroll free to practise them all.