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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Rewrite the implication 'p → q' using conjunction and negation.
💡 Hint: Think about how implications can be transformed into disjunctions.
Question 2
Easy
Is the proposition 'True OR False' satisfiable? Why?
💡 Hint: Remember, any disjunction is satisfied if at least one part is True.
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 it mean for a proposition to be satisfiable?
- It is always false
- It can be made true with some assignments
- It is a tautology
💡 Hint: Think about the conditions that define satisfiability.
Question 2
True or False: A compound proposition can be satisfiable and a tautology at the same time.
- True
- False
💡 Hint: Reflect on the definitions of tautologies versus satisfiability.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the proposition '(p AND q) OR (NOT r)', find a truth assignment that satisfies it.
💡 Hint: Look to satisfy any part of the disjunction.
Question 2
Formulate a proof showing that having just the negation operator can still create a valid logical expression.
💡 Hint: Think about how negation transforms the logical landscape.
Challenge and get performance evaluation