Practice - Discrete Mathematics
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Practice Questions
Test your understanding with targeted questions
Define a direct proof.
💡 Hint: Think about how it proceeds from the assumption.
What does vacuous proof mean?
💡 Hint: Consider implications and what happens when p is false.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a direct proof?
💡 Hint: Focus on the order of the statements in the proof.
True or False: A vacuous proof is true if the premise is false.
💡 Hint: Think about what implications mean.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that the square of any integer is either odd or even using direct proof.
💡 Hint: You will verify the conditions for both cases!
Prove that if a number is divisible by 4, it is also divisible by 2 using indirect proof.
💡 Hint: Consider the properties of divisibility to derive the conclusion.
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Reference links
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