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Write down the negation of following compound statements All rational numbers are real and complex.

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Question

Write down the negation of following compound statements

All rational numbers are real and complex.

Sum
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Solution

p: All rational numbers are real

~ p: All rational numbers are not real.

q: All rational numbers are complex.

~ q: All rational numbers are not complex.

~ (p ∧ q) = (~ p ∨ ~ q): All rational numbers are neither real nor complex

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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.(i) | Page 263

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