Practice - Question 6
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Practice Questions
Test your understanding with targeted questions
What is the logical form of 'if it rains, the ground will be wet'?
💡 Hint: Identify the main components of the statement.
What does p → q mean?
💡 Hint: Think about how you would express a cause-and-effect relationship.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following represents an implication?
💡 Hint: Look for the statement indicating a conditional relationship.
True or False: The contrapositive of p → q is p → ¬q.
💡 Hint: Recall what 'contrapositive' means.
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Challenge Problems
Push your limits with advanced challenges
Prove that (p ∧ q) → r is logically equivalent to ¬p ∨ ¬q ∨ r using a truth table.
💡 Hint: Focus on every combination of truth values for p, q, and r.
Demonstrate the non-equivalence of (p → q) and (q → p) and justify your answer.
💡 Hint: Consider scenarios that reveal their truth values.
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