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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define an irreflexive relation.
💡 Hint: Think of self-relationships.
Question 2
Easy
What must be true for a relation to be considered symmetric?
💡 Hint: Look for mutual connections.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is an irreflexive relation?
💡 Hint: Look at the pairs in relation.
Question 2
If (a, b) belongs to a symmetric relation, then which of the following must also be true?
- (b
- a) is in the relation
- (a
- b) is not in the relation
- None of the above
💡 Hint: Refer back to the definition of symmetry.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
Given the relation R = {(1, 2), (2, 3), (2, 1)}. Determine whether it is symmetric and explain.
💡 Hint: Analyze individual connections for symmetry.
Challenge and get performance evaluation