Practice - Part A - 6.6.1
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Practice Questions
Test your understanding with targeted questions
Express the statement, "You do not drive over 65 miles per hour," in terms of p.
💡 Hint: Think about negation and what it means.
What is the converse of the statement p → q?
💡 Hint: Remember you switch the positions of the propositions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does p → q indicate?
💡 Hint: Think of implications in everyday situations.
True or False: The contrapositive of p → q is ¬p → ¬q.
💡 Hint: Recall the definition of contrapositive.
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Challenge Problems
Push your limits with advanced challenges
Given the statements, "If it rains, I take an umbrella (p → q)," explain how its contrapositive helps understand the reasoning if the weather changes.
💡 Hint: Reflect on how depending on actions shows understanding of conditions.
Show through a truth table how p ⇔ q is equivalent to (p → q) ∧ (q → p).
💡 Hint: Focus on the definition of biconditional.
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Reference links
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