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Using the rules of negation, write the negation of the following: ~(p ∨ q) → r - Mathematics and Statistics

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Question

Using the rules of negation, write the negation of the following:

~(p ∨ q) → r

Sum
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Solution

~[~ (p ∨ q) → r] ≡ ~ (p ∨ q) ∧ ~ r      ...[Negation of implication]

≡ (~ p ∧ ~ q) ∧ ~ r        ...[De-morgan's law]

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Chapter 1: Mathematical Logic - Exercise 1.8 [Page 21]

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