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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
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.
Question 2
Easy
What does ¬ p represent?
💡 Hint: Think of it as 'not p'.
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 only situation where p → q is false?
- When both are true
- When `p` is true and `q` is false
- When both are false
💡 Hint: Think about the conditional relationship.
Question 2
Is p ↔ q true if both p and q are false?
- True
- False
💡 Hint: Consider the definition of bi-implication.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation