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

Write the dual of the following. p ∨ (q ∧ r) ≡ (p ∨ q) ∧ (q ∨ r) - Mathematics and Statistics

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प्रश्न

Write the dual of the following.

p ∨ (q ∧ r) ≡ (p ∨ q) ∧ (q ∨ r)

एका वाक्यात उत्तर

उत्तर

p ∧ (q ∨ r) ≡ (p ∧ q) ∨ (q ∧ r)

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पाठ 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३३]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.18 | पृष्ठ ३३

संबंधित प्रश्‍न

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Using truth table, examine whether the following statement pattern is tautology, contradiction or contingency: p ∨ [∼(p ∧ q)]


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Show that the following statement pattern in contingency : 

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5x - 3 < 10


By constructing the truth table, determine whether the following statement pattern ls a tautology , contradiction or . contingency.  (p →  q) ∧  (p ∧ ~ q ).


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∼ (p ∨ q) ∨ (∼ p ∧ q) ≡ ∼ p


Using the truth table prove the following logical equivalence.

p → (q ∧ r) ≡ (p → q) ∧ (p → r)


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[∼ (p ∨ q) ∨ (p ∨ q)] ∧ r ≡ r


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Using the truth table, prove the following logical equivalence.

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Write the dual of the following.

(p ∧ q) ∧ r ≡ p ∧ (q ∧ r)


Write the dual of the following.

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Prepare truth table for the statement pattern `(p -> q) ∨ (q -> p)` and show that it is a tautology.


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