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Write the negation of the following statement. 7 is prime number and Tajmahal is in Agra. - Mathematics and Statistics

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प्रश्न

Write the negation of the following statement.

7 is prime number and Tajmahal is in Agra.

योग
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उत्तर

Let p : 7 is prime number.
q : Tajmahal is in Agra.

The given statement in symbolic form is p ∧ q.

Its negation is ~(p ∧ q) ≡ ~p ∨ ~q.

∴ The negation of given statement is '7 is not prime number or Tajmahal is not in Agra.'

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अध्याय 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३४]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.22 | पृष्ठ ३४

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Write the negation of (p `leftrightarrow` q).


Using truth table prove that:

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


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