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

Write the negation of the following statement. All the stars are shining if it is night. - Mathematics and Statistics

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प्रश्न

Write the negation of the following statement.

All the stars are shining if it is night.

बेरीज
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उत्तर

Let q : All stars are shining.

p : It is night.

The given statement in symbolic form is p → q.

It’s negation is ~ (p → q) ≡ p ∧ ~ q

∴ The negation of a given statement is 'It is night and some stars are not shining'.

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Notes

The answer in the textbook is incorrect.

  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Exercise 1.8 [पृष्ठ २१]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Exercise 1.8 | Q 1.1 | पृष्ठ २१
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