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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the dual of 'P OR Q'?
💡 Hint: Recall the transformations for OR.
Question 2
Easy
Is the proposition 'P' equal to its dual? Why or why not?
💡 Hint: Think about 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 AND Q'?
- P AND Q
- P OR Q
- TRUE
💡 Hint: Remember to switch the operations.
Question 2
If P is equivalent to Q, what can be said about their duals?
- True
- False
💡 Hint: Think of the relationship between duals.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given propositions P, Q, and R, construct a dual of the compound proposition 'P AND (Q OR R)'. What does the resulting dual express?
💡 Hint: Apply the duality rules thoroughly.
Question 2
Using the properties of duals, prove that if P AND Q is true, then the dual expression should also logically hold. What implications arise?
💡 Hint: Think about the definitions of AND, OR, and their relations.
Challenge and get performance evaluation