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

Write the truth value of the following statement. Earth is a planet and Moon is a star.

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प्रश्न

Write the truth value of the following statement.

Earth is a planet and Moon is a star.

बेरीज
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उत्तर

Let p : Earth is a planet.

q : Moon is a star.

The truth values of p and q are T and F respectively.

The given statement in symbolic form is p ∧ q.

∴ p ∧ q ≡ T ∧ F ≡ F

∴ Truth value of the given statement is F.

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पाठ 1: Mathematical Logic - Exercise 1.2 [पृष्ठ ६]

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Using truth table prove that:

~ (p `leftrightarrow` q) ≡ (p ∧ ~ q) ∨ (q ∧ ~ p)


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