Write down the negation of following compound statement: All rati… - Vidyadip

Question

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

✓

Answer

Let p: All rational numbers are real.
q: All rational numbers are complex.
~p: All rational numbers are not real.
~q; All rational numbers are not complex.
Then, the negation of the given compound statement is:
~(p ∧ q): All rational numbers are not real or not complex.
[~(p ∧ q) = ~p v ~ q]

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