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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) ↔ ~(p ∨ q) - 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) ↔ ~(p ∨ q)

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उत्तर

(p → q) ↔ ~(p ∨ q) ≡ (T → T) ↔ (T ∨ T)

≡ T ↔ ~ T

≡ T ↔ F

≡ F

Hence, truth value if F.

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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 3.4 | पृष्ठ ११

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