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

If p and q are true and r and s are false, find the truth value of the following compound statement. ~ [(~ p ∨ s) ∧ (~ q ∧ r)] - Mathematics and Statistics

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प्रश्न

If p and q are true and r and s are false, find the truth value of the following compound statement.

~ [(~ p ∨ s) ∧ (~ q ∧ r)]

बेरीज

उत्तर

~ [(~ p ∨ s) ∧ (~ q ∧ r)] ≡ ~[(~T ∨ F) ∧ (~T ∧ F)]

≡ ~[(F ∨ F) ∧ (F ∧ F)

≡ ~ (F ∧ F)

≡ ~ F

≡ T
Hence, truth value if T.

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पाठ 1: Mathematical Logic - Exercise 1.4 [पृष्ठ ११]

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