Practice - Constructing Duals
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Practice Questions
Test your understanding with targeted questions
What is the dual of the proposition p ∧ q?
💡 Hint: Remember to switch ANDs with ORs.
Construct the dual for p ∨ q.
💡 Hint: Think about the dual transformation.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the dual of the expression p ∧ (q ∨ r)?
💡 Hint: Carefully swap the operators.
True or False: The dual of a compound proposition is always logically equivalent to the original proposition.
💡 Hint: Consider the definitions of dual and equivalence in logic.
3 more questions available
Challenge Problems
Push your limits with advanced challenges
Construct the dual of the statement ((p ∧ (¬q)) ∨ r). Explain the significance of your result.
💡 Hint: Focus on correctly applying the dual transformation rules.
If P and Q are two logically equivalent statements, demonstrate how their duals maintain logical equivalence.
💡 Hint: Refer back to the definitions of logical equivalence and apply transformations carefully.
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