Practice - De Morgan's Law
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Practice Questions
Test your understanding with targeted questions
Define tautology and give an example.
💡 Hint: Think of a statement that cannot be false.
What is a contradiction? Give an example.
💡 Hint: Consider how you can have p true and false simultaneously.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What do we call a statement that is always true?
💡 Hint: This type of statement includes `p ∨ ¬p`.
Is p ∧ ¬p a tautology?
💡 Hint: What happens when p takes both true and false values?
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Using De Morgan's laws, prove that ¬(p ∧ q) is logically equivalent to ¬p ∨ ¬q. Include all logical steps.
💡 Hint: Consider how negation would affect both components.
Create a complex logical statement involving multiple variables and use logical identities to simplify and demonstrate equivalence.
💡 Hint: Think of separating the conjunction over the disjunction and applying negation effectively.
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