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Write the negation of the following statement. 10 > 5 and 3 < 8

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Question

Write the negation of the following statement.

10 > 5 and 3 < 8

Sum
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Solution

Let p : 10 > 5.
q : 3 < 8.

The given statement in symbolic form is p ∧ q.

Its negation is ~(p ∧ q) ≡ ~p ∨ ~q.

∴ The negation of given statement is '10 ≤ 5 or 3 ≥ 8.'

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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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