Practice - Proof Strategies-I
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Practice Questions
Test your understanding with targeted questions
What is a direct proof?
💡 Hint: Consider its definition in the context of implications.
Provide an example of a universally quantified statement.
💡 Hint: Think about properties of even and odd numbers.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a direct proof do?
💡 Hint: Think about how direct proofs relate to implications.
Is proof by contrapositive valid for proving implications?
💡 Hint: Recall the connection between a statement and its contrapositive.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given the statement 'If n is a multiple of 4, then n² is a multiple of 16', prove it using a direct proof.
💡 Hint: Start by expressing n in terms of k.
Prove 'if the product of two integers is odd, then both integers must be odd' using proof by contrapositive.
💡 Hint: Identify how even and odd integers interact when multiplied.
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