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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is proof by contrapositive?
💡 Hint: Think about how negation affects implications.
Question 2
Easy
If p is false, what can you say about the implication p → q?
💡 Hint: Remember the role of false premises in implications.
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 does proof by contrapositive prove?
- p → q
- ¬q → ¬p
- p ∧ q
💡 Hint: Think about how negation affects the flow of logic.
Question 2
True or False: A vacuous proof can be applied even if the conclusion is false.
- True
- False
💡 Hint: Reflect on definitions of vacuous statements.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that for all integers n, if n² is odd, then n is odd using contradiction.
💡 Hint: Focus on rephrasing even numbers.
Question 2
Use induction or contradiction to show there are infinitely many primes.
💡 Hint: Think about properties of prime numbers.
Challenge and get performance evaluation