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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following: (p → q) ∧ ∼ r - Mathematics and Statistics

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प्रश्न

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

(p → q) ∧ ∼ r

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उत्तर

Truth values of p and q are T and truth values of r and s are F.

(p → q) ∧ (∼ r) ≡ (T → T) ∧ (∼ F)
                         ≡ T ∧ T ≡ T
Hence the truth value of the given statement is true.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Exercise 1.1 [पृष्ठ ७]

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