Practice Constructing Duals - 6.8.2 | 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 dual of the proposition p ∧ q?

💡 Hint: Remember to switch ANDs with ORs.

Question 2

Easy

Construct the dual for p ∨ q.

💡 Hint: Think about the dual transformation.

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 dual of the expression p ∧ (q ∨ r)?

  • p ∨ (q ∧ r)
  • p ∧ r
  • q ∨ r

💡 Hint: Carefully swap the operators.

Question 2

True or False: The dual of a compound proposition is always logically equivalent to the original proposition.

  • True
  • False

💡 Hint: Consider the definitions of dual and equivalence in logic.

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Challenge Problems

Push your limits with challenges.

Question 1

Construct the dual of the statement ((p ∧ (¬q)) ∨ r). Explain the significance of your result.

💡 Hint: Focus on correctly applying the dual transformation rules.

Question 2

If P and Q are two logically equivalent statements, demonstrate how their duals maintain logical equivalence.

💡 Hint: Refer back to the definitions of logical equivalence and apply transformations carefully.

Challenge and get performance evaluation