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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a relation.
💡 Hint: Look at the definition involving sets A and B.
Question 2
Easy
What is a reflexive relation? Give an example.
💡 Hint: Recall the meaning of reflexivity in math.
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 defines a relation in mathematics?
- A function from set A to B
- A subset of A × B
- An ordered triplet
💡 Hint: Recall the definition involving A and B.
Question 2
True or False: A function can map one input to multiple outputs.
- True
- False
💡 Hint: Think about the definition of a function.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a function from a set of integers to a set of fruits, ensuring it is bijective. Explain your choices.
💡 Hint: Consider the definitions of injective and surjective to ensure all outputs are unique and covered.
Question 2
Given the relation R = {(1, 2), (2, 3), (3, 1)}, analyze its properties: Reflexive, Symmetric, Transitive. Explain your evaluation.
💡 Hint: Break down each property step by step.
Challenge and get performance evaluation