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Question
The dual of the statement (p ˅ q) ˄ (r ˅ s) is ______.
Options
(p ˄ q) ˄ (r ˄ s)
(p ˄ q) ˅ (r ˄ s)
(p ˅ q) ˅ (r ˅ s)
(p ˅ q) ˄ (r ˅ s)
Solution
The dual of the statement (p ˅ q) ˄ ( r ˅ s) is (p ˄ q) ˅ (r ˄ s).
Explanation:
The dual of a proposition that contains only the logical operators ∨, ∧ can be obtained by replacing each ∨ by ∧ and each ∧ by ∨.
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