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Verify whether the following compound propositions are tautologies or contradictions or contingency. ((p v q) ∧¬p) → q - Mathematics

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प्रश्न

Verify whether the following compound propositions are tautologies or contradictions or contingency.

((p v q) ∧¬p) → q

तक्ता
बेरीज
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उत्तर

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

The entries in the last column are only T.

∴ The given statement is a Tautology

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Mathematical Logic
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पाठ 12: Discrete Mathematics - Exercise 12.2 [पृष्ठ २४९]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 12 Discrete Mathematics
Exercise 12.2 | Q 7. (ii) | पृष्ठ २४९

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