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Tamil Nadu Board of Secondary EducationHSC Science Class 12

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

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Question

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

((p v q) ∧¬p) → q

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Sum
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Solution

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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Chapter 12: Discrete Mathematics - Exercise 12.2 [Page 249]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 12 Discrete Mathematics
Exercise 12.2 | Q 7. (ii) | Page 249

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