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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is proof by contradiction?
💡 Hint: Consider how assuming the opposite can reveal inconsistencies.
Question 2
Easy
Give an example of proof by contradiction.
💡 Hint: Think about rational numbers that result from fractions.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does proof by contradiction involve?
- Assuming a statement is true
- Assuming a statement is false
- Directly proving the statement
💡 Hint: Reflect on the logical sequence of proving truths.
Question 2
True or False: Proof by contradiction can be used only for implications.
- True
- False
💡 Hint: Consider its application beyond just implications.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that if the sum of two irrational numbers can be rational, provide an example.
💡 Hint: Look at properties of numbers and their sums.
Question 2
Demonstrate that there exists no smallest positive rational number.
💡 Hint: Reflect on the structure of rationals and their properties.
Challenge and get performance evaluation