Practice - Using Proof by Contradiction for Single Proposition
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Practice Questions
Test your understanding with targeted questions
What is proof by contradiction?
💡 Hint: Consider how assuming the opposite can reveal inconsistencies.
Give an example of proof by contradiction.
💡 Hint: Think about rational numbers that result from fractions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does proof by contradiction involve?
💡 Hint: Reflect on the logical sequence of proving truths.
True or False: Proof by contradiction can be used only for implications.
💡 Hint: Consider its application beyond just implications.
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Challenge Problems
Push your limits with advanced challenges
Prove that if the sum of two irrational numbers can be rational, provide an example.
💡 Hint: Look at properties of numbers and their sums.
Demonstrate that there exists no smallest positive rational number.
💡 Hint: Reflect on the structure of rationals and their properties.
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