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Prove that the following statement pattern is a tautology. (p ∧ q) → q - Mathematics and Statistics

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प्रश्न

Prove that the following statement pattern is a tautology.

(p ∧ q) → q

योग

उत्तर

p q p ∧ q (p∧q)→q
T T T T
T F F T
F T F T
F F F T

All the truth values in the last column are T. Hence, it is 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 3.1 | पृष्ठ १६

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