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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Show that the following statement pattern is contingency. (p → q) ↔ (~ p ∨ q) - Mathematics and Statistics

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प्रश्न

Show that the following statement pattern is contingency.

(p → q) ↔ (~ p ∨ q)

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उत्तर

p q ~p p→q ~p∨q (p→q)↔(~p∨q)
T T F T T T
T F F F F T
F T T T T T
F F T T T T

All the truth values in the last column are T. Hence, it is a tautology. Not contingency.

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

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Exercise 1.6 | Q 5.2 | पृष्ठ १६
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