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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Discuss the statement pattern, using truth table : ~(~p ∧ ~q) v q

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प्रश्न

Examine whether each of the following statement patterns is a tautology or a contradiction or a contingency.

[~(~p ∧ ~q)] v q

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उत्तर

Consider the statement pattern: ∼ (∼ p ∧ ∼ q) ∨ q
Thus the truth table of the given logical statement: ~(~p ∧ ~q) ∨ q

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

The above statement is contingency.

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पाठ 1: Mathematical Logic - Exercise 1.2 [पृष्ठ १३]

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