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With proper justification, state the negation of the following. (p → q) ∧ r - Mathematics and Statistics

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Question

With proper justification, state the negation of the following.

(p → q) ∧ r

Sum
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Solution

~[(p → q) ∧ r]

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

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

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

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