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Write down the negation of following compound statements All prime integers are either even or odd. - Mathematics

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Question

Write down the negation of following compound statements

All prime integers are either even or odd.

Sum
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Solution

p: All prime integers are even.

q: All prime integers are odd.

The negation of the above statements is

~ (p ∨ q) = (~ p ∧ ~ q): All prime integers are not even and all prime integers are not odd.

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Chapter 14: Mathematical Reasoning - Exercise [Page 263]

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

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