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

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प्रश्न

Write the negation of the following statement.

10 > 5 and 3 < 8

योग

उत्तर

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

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

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Using truth table prove that:

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