Practice - Examples of Irreflexive Relations
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Practice Questions
Test your understanding with targeted questions
Is the relation R = {(1, 2), (2, 1)} irreflexive for set A = {1, 2}?
💡 Hint: Check if any pairs (a, a) exist.
What entry in the matrix representation of an irreflexive relation would you expect for (1, 1)?
💡 Hint: Remember, we are looking for self-relating pairs.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines an irreflexive relation?
💡 Hint: Think about the definition of irreflexive.
True or False: The empty relation is both reflexive and irreflexive.
💡 Hint: Consider the definition of these terms in a void scenario.
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Challenge Problems
Push your limits with advanced challenges
If A = {x, y, z} and R = {(x, y), (y, z), (x, z)}, classify R as reflexive or irreflexive. Justify your answer.
💡 Hint: Check each element in A.
Provide an example of a relation R from a set A = {1, 2, 3} that is irreflexive and also explain the matrix representation.
💡 Hint: Ensure no self-relating pairs are included.
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