Practice - Part B - 6.7.2
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Practice Questions
Test your understanding with targeted questions
What is the negation of p?
💡 Hint: Think of the opposite of the statement represented by p.
Write the converse of p → q.
💡 Hint: Just flip the order of the original implication.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the statement p ↔ q mean?
💡 Hint: Think about when both conditions agree.
If p is false, what is the truth value of p → q?
💡 Hint: Check the rules for implications.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Create a complex logical statement using at least three propositional variables. Write the statement out and then construct a truth table for it.
💡 Hint: Use systematic methods for combining truth values.
Prove that (p → q) ∧ (¬q → ¬p) is logically equivalent to p ↔ q by showing both sides have the same truth values.
💡 Hint: Detailed comparisons of truth values will help.
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