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

p : Sunday is holiday, q : Ram does not study on holiday, find the truth values of the following statements. Sunday is not holiday or Ram studies on holiday. - Mathematics and Statistics

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प्रश्न

Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

Sunday is not holiday or Ram studies on holiday.

एका वाक्यात उत्तर

उत्तर

Symbolic form of the given statement is ~ p ∨~q

∴ ~ p ∨~ q ≡ ~ T ∨ ~ T

≡ F ∨ F

≡ F

Hence, truth value is F.

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

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