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Write the negation of the following statements:p: All triangles are equilateral triangles. - Mathematics

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Question

Write the negation of the following statements:
p: All triangles are equilateral triangles.

Sum
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Solution

We have

It is false that all triangles are equilateral triangles

or

~ p: Threre exists a triangle which is not an equilateral triangles.

or

~ p: Not all triangles are equilateral triangles

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Chapter 14: Mathematical Reasoning - Solved Examples [Page 256]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 14 Mathematical Reasoning
Solved Examples | Q 6.(a) | Page 256

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