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Write down the negation of following compound statements A triangle has either 3-sides or 4-sides.

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Question

Write down the negation of following compound statements

A triangle has either 3-sides or 4-sides.

Sum
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Solution

p: A triangle has 3-sides.

q: A triangle has 4-sides.

The negation of the above statements is

~ (p ∨ q) = (~ p ∧ ~ q): A triangle has neither 3-sides nor 4-sides.

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Chapter 14: Mathematical Reasoning - Exercise [Page 263]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise | Q 6.(iv) | Page 263

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