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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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प्रश्न

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

~(p ∨ q) → r

योग

उत्तर

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

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

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

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 1 Mathematical Logic
Exercise 1.8 | Q 2.2 | पृष्ठ २१

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