Practice Duals Of Logically Equivalent Statements (6.8.4) - Tutorial 1: Part I
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Duals of Logically Equivalent Statements

Practice - Duals of Logically Equivalent Statements

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the negation of p?

💡 Hint: Think about the opposite of the statement represented by p.

Question 2 Easy

What does p → q mean?

💡 Hint: It's an implication, so consider the relationship between p and q.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the negation of p → q?

¬p → q
p → ¬q
¬(p → q)

💡 Hint: Consider how negation affects the entire statement.

Question 2

True or False: The contrapositive of p → q is q → p.

True
False

💡 Hint: Remember what contrapositive entails.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that if p → q and q → r are true, then p → r is also true.

💡 Hint: Consider the chain of implications between p, q, and r.

Challenge 2 Hard

If the dual of a compound statement is identical to its original, what can you infer?

💡 Hint: Think about which types of statements maintain structure and cannot be altered.

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Reference links

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