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Write the negation of the following statements:Suresh lives in Bhopal or he lives in Mumbai. - Mathematics

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Question

Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.

Sum

Solution

Let p: Suresh lives in Bhopal

And q: Suresh lives in Mumbai

Then the disjunction in (i) is given by p ∨ q.

Now ~ p: Suresh does not live in Bhopal.

~ q: Suresh does not live in Mumbai.

Therefore, using (D8), negation of p ∨ q is given by

~ ( p ∨ q ): Suresh does not live in Bhopal and he does not live in Mumbai.

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Chapter 14: Mathematical Reasoning - Solved Examples [Page 257]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 14 Mathematical Reasoning
Solved Examples | Q 7.(i) | Page 257

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