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Write the negation of the following. It is cold and raining. - Mathematics and Statistics

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प्रश्न

Write the negation of the following.

It is cold and raining.

योग
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उत्तर

Given statement is "It is cold and raining."

Let p : It is cold.
q : It is raining.

Then the symbolic form of the given statement is p ∧ q.

The negation of a statement is the opposite truth of given statement and denoted by symbol ∼. 

Since ∼ (p ∧ q) ≡ ∼ p ∨ ∼ q, the negation of the given statement is:

It is not cold or not raining.

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Negations of Compound Statements
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अध्याय 1: Mathematical Logic - Exercise 1.3 [पृष्ठ १८]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
अध्याय 1 Mathematical Logic
Exercise 1.3 | Q 3.4 | पृष्ठ १८

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