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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the dual of the statement A and B?
💡 Hint: Remember to swap the 'and' with 'or'.
Question 2
Easy
If p is a literal, what is its dual?
💡 Hint: It's a special case when dealing with single literals.
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 the dual of p ∧ q?
- p ∨ q
- ¬p ∧ q
- p → q
💡 Hint: Look closely at the operators.
Question 2
If a statement is a single literal, does its dual remain the same?
- True
- False
💡 Hint: Remember the characteristics of literals.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that if P and Q are logically equivalent, their duals P and Q are also logically equivalent.
💡 Hint: Focus on the structure of the propositions and the effects of switching.
Question 2
Find and demonstrate the dual of a complex compound statement like A ∧ (B ∨ C). Explain your reasoning.
💡 Hint: Refer to the rules of duality.
Challenge and get performance evaluation