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