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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a direct proof.
💡 Hint: Think about how it proceeds from the assumption.
Question 2
Easy
What does vacuous proof mean?
💡 Hint: Consider implications and what happens when p is false.
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 is a direct proof?
- Assuming the conclusion is true
- Assuming the premise is true
- None of the above
💡 Hint: Focus on the order of the statements in the proof.
Question 2
True or False: A vacuous proof is true if the premise is false.
- True
- False
💡 Hint: Think about what implications mean.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the square of any integer is either odd or even using direct proof.
💡 Hint: You will verify the conditions for both cases!
Question 2
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.
Challenge and get performance evaluation