Practice Relations (1) - Relations and Functions

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9 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define a relation between sets A = {1, 2} and B = {a, b}.
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Use ordered pairs with elements from each set.
Question 2.
What is the Cartesian product of A = {1, 2} and B = {x, y}?
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List all combinations of elements pairs.
3Question 3.
A relation between two sets is defined as:
- A union of sets
- A subset of the Cartesian product
- The intersection of sets
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Think about what types of sets can relate to one another.
4Question 4.
Is the relation R = {(1, 1), (2, 2), (3, 1)} reflexive for set A = {1, 2, 3}?
- True
- False
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Check if all elements relate back to themselves.
Question 5.
Consider sets A = {1, 2, 3} and B = {a, b, c}. Define a relation R such that it is reflexive, symmetric, and transitive. Provide the pairs and explain why it fits as an equivalence relation.
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Think about how pairs interconnect based on the defined properties.
Question 6.
Create a non-reflexive relation on set A = {1, 2, 3} and explain why it does not satisfy reflexivity.
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Reflexivity requires every element to relate to itself.

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