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Question
Using the rules in logic, write the negation of the following:
(p → q) ∧ r
Solution
The negation of (p → q) ∧ r is
∼ [(p → r) ∧ r]
≡ ∼ (p → q) ∨ (∼r) ............(Negation of conjunction)
≡ (p ∧ ∼q) ∨ (∼r) ........(Negation of implication)
[Note: Answer in the textbook is incorrect.]
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