Practice Duals of Logically Equivalent Statements - 6.8.4 | 6. Tutorial 1: Part I | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

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.

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 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.

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Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation