Practice - Definition and Characteristics - 17.2.1
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Practice Questions
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Define an irreflexive relation.
💡 Hint: Think of self-relationships.
What must be true for a relation to be considered symmetric?
💡 Hint: Look for mutual connections.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is an irreflexive relation?
💡 Hint: Look at the pairs in relation.
If (a, b) belongs to a symmetric relation, then which of the following must also be true?
💡 Hint: Refer back to the definition of symmetry.
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Challenge Problems
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Consider the relation R defined on the set A = {1, 2, 3}: R = {(1, 2), (2, 3), (1, 3)}. Is R irreflexive and transitive?
💡 Hint: Check for self-involvement for irreflexivity and chain linking for transitivity.
Given the relation R = {(1, 2), (2, 3), (2, 1)}. Determine whether it is symmetric and explain.
💡 Hint: Analyze individual connections for symmetry.
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