Practice Equality Of Dual And Original Statement (6.8.3) - Tutorial 1: Part I
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Equality of Dual and Original Statement

Practice - Equality of Dual and Original Statement

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the dual of the statement A and B?

💡 Hint: Remember to swap the 'and' with 'or'.

Question 2 Easy

If p is a literal, what is its dual?

💡 Hint: It's a special case when dealing with single literals.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the dual of p ∧ q?

p ∨ q
¬p ∧ q
p → q

💡 Hint: Look closely at the operators.

Question 2

If a statement is a single literal, does its dual remain the same?

True
False

💡 Hint: Remember the characteristics of literals.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that if P and Q are logically equivalent, their duals P and Q are also logically equivalent.

💡 Hint: Focus on the structure of the propositions and the effects of switching.

Challenge 2 Hard

Find and demonstrate the dual of a complex compound statement like A ∧ (B ∨ C). Explain your reasoning.

💡 Hint: Refer to the rules of duality.

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Reference links

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