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Examine whether the following statement pattern is a tautology, a contradiction or a contingency. q ∨ [~ (p ∧ q)] - Mathematics and Statistics

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प्रश्न

Examine whether the following statement pattern is a tautology, a contradiction or a contingency.

q ∨ [~ (p ∧ q)]

योग

उत्तर

p q p ∧ q ~ (p ∧ q) q ∨ [~ (p ∧ q)]
T T T F T
T F F T T
F T F T T
F F F T T

All the truth values in the last column are T. Hence, it is a tautology.

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अध्याय 1: Mathematical Logic - Exercise 1.6 [पृष्ठ १६]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 1 Mathematical Logic
Exercise 1.6 | Q 2.1 | पृष्ठ १६

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