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Using the rule of negation write the negation of the following with justification. p ∧ ∼ q - Mathematics and Statistics

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Question

Using the rule of negation write the negation of the following with justification.

p ∧ ∼ q

Sum

Solution

The negation of p ∧ ∼ q is
∼ (p ∧ ∼ q) ≡ ∼ p ∨ ∼ (∼ q) .........(Negation of conjunction)
≡ ∼ p ∨ q .............(Negation of negation)

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Negations of Compound Statements
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Chapter 1: Mathematical Logic - Exercise 1.4 [Page 21]

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