Practice Equality Of Dual And Original Statement (6.8.3)

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6 sample questions

Question 1.
What is the dual of the statement A and B?
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Remember to swap the 'and' with 'or'.
Question 2.
If p is a literal, what is its dual?
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It's a special case when dealing with single literals.
3Question 3.
What is the dual of p ∧ q?
- p ∨ q
- ¬p ∧ q
- p → q
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Look closely at the operators.
4Question 4.
If a statement is a single literal, does its dual remain the same?
- True
- False
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Remember the characteristics of literals.
Question 5.
Prove that if P and Q are logically equivalent, their duals P* and Q* are also logically equivalent.
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Focus on the structure of the propositions and the effects of switching.
Question 6.
Find and demonstrate the dual of a complex compound statement like A ∧ (B ∨ C). Explain your reasoning.
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Refer to the rules of duality.

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