Maharashtra State BoardHSC Arts 12th Board Exam
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Write the negation of the following. ∀ n ∈ N, n2 + n + 2 is divisible by 4. - Mathematics and Statistics

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Sum

Write the negation of the following.

∀ n ∈ N, n2 + n + 2 is divisible by 4.

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Solution

The negation of the given statement is:
∃ n ∈ N, such that n2 + n + 2 is not divisible by 4.

Concept: Negations of Compound Statements
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