Practice - Question 3
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Practice Questions
Test your understanding with targeted questions
Create a truth table for the proposition p → q.
💡 Hint: Remember to note when `p` being true and `q` being false is the only situation that makes `p → q` false.
What does ¬ p represent?
💡 Hint: Think of it as 'not p'.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the only situation where p → q is false?
💡 Hint: Think about the conditional relationship.
Is p ↔ q true if both p and q are false?
💡 Hint: Consider the definition of bi-implication.
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Challenge Problems
Push your limits with advanced challenges
Construct a complete truth table for the expression ((p → q) ∧ (¬ p → r)) ↔ (q ∨ r).
💡 Hint: Check each part incrementally, ensuring you're capturing the implications accurately.
Prove using truth values that (p → q) -> (¬ q → ¬ p) is a tautology.
💡 Hint: Focus on filling out the truth values for both sides and comparing.
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