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

Write the negation of the following statement: (p → q) ∨ (p → r) - Mathematics and Statistics

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प्रश्न

Write the negation of the following statement:

(p `rightarrow` q) ∨ (p `rightarrow` r)

बेरीज

उत्तर

∼[(p `rightarrow` q) ∨ (p `rightarrow` r)]

∼(p `rightarrow` q) ∧ ∼(p `rightarrow` r)

(p ∧ ∼q) ∧ (p ∧ ∼r)

p ∧ (∼q ∧ ∼r)

p ∧ ∼(q ∨ r)

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