Practice Reflexive Relation (1.2.1) - Relations and Functions

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6 sample questions

Question 1.
What is a reflexive relation?
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Think about the definition involving pairs.
Question 2.
For set A = {x, y}, give an example of a reflexive relation.
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Use the elements of the set in your answer.
3Question 3.
What characterizes a reflexive relation?
- All elements relate to another
- Every element relates to itself
- No elements relate
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Consider what it means for an element to relate to itself.
4Question 4.
True or False: A reflexive relation can be defined on any set.
- True
- False
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Think about how sets and relations work.
Question 5.
Given a set A = {2, 4, 6, 8, 10}, create at least three different reflexive relations on the set and justify your choices.
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Remember each relation must include pairs (x, x).
Question 6.
How would you show that a relation R = {(1,1), (2,2), (3,3), (1,2)} is reflexive? What is missing?
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Check the list against all elements in the set.

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