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

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उत्तर

(p → q) ∨ (r ∧ s) ≡ (T → T) ∨ (F ∧ F) 

≡ T ∨ F

≡ T
Hence, truth value if T.

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

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 1 Mathematical Logic
Exercise 1.4 | Q 3.2 | पृष्ठ ११

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