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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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

बेरीज

उत्तर

~[(p → q) ∧ r]

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

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

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

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