Practice - Conclusion
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Practice Questions
Test your understanding with targeted questions
What is a direct proof?
💡 Hint: Think about straightforward logical connections.
What does it mean when we say a proof is vacuous?
💡 Hint: Check the definition of vacuous.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is true about a direct proof?
💡 Hint: Remember, direct proofs follow a straightforward logical path.
True or False: A vacuous proof can be used when the premise is true.
💡 Hint: Reflect on the conditions required for a vacuous proof.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove using contradiction: If n is an odd integer, then n^2 must also be odd.
💡 Hint: Focus on the implications of the assumption.
Show that no positive integer squared can result in 2; use proof by contradiction.
💡 Hint: Explore the properties of rational numbers and their divisibility.
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Reference links
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