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

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प्रश्न

With proper justification, state the negation of the following.

(p → q) ∧ r

योग
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उत्तर

~[(p → q) ∧ r]

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

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

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अध्याय 1: Mathematical Logic - Exercise 1.8 [पृष्ठ २१]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 1 Mathematical Logic
Exercise 1.8 | Q 4.3 | पृष्ठ २१
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