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Write the negation of the following statement. I will have tea or coffee.

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Question

Write the negation of the following statement.

I will have tea or coffee.

Sum
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Solution

Let p : I will have tea.
q : I will have coffee.

The given statement in symbolic form is p ∨ q.

Its negation is ~(p ∨ q) ≡ ~p ∧ ~q.

∴ The negation of given statement is ‘I will not have tea and coffee’.

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 34]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.22 | Page 34

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