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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a relation between sets A and B.
💡 Hint: Think of ordered pairs formed from both sets.
Question 2
Easy
What is a reflexive relation?
💡 Hint: Consider the elements relating to themselves.
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
A relation is a subset of the Cartesian product of which sets?
- A and B
- B and C
- A and C
💡 Hint: Remember the definition of a relation.
Question 2
All surjective functions are also injective. True or False?
- True
- False
💡 Hint: Consider examples where different inputs yield the same output.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given sets A = {1, 2, 3} and B = {a, b, c, d}, define a surjective function from A to B.
💡 Hint: Ensure every element in the co-domain is covered by at least one domain element.
Question 2
Prove that if f and g are bijective functions, then their composition g o f is also bijective.
💡 Hint: Review the definitions of injective and surjective functions.
Challenge and get performance evaluation