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Question
Write the negation of the following statements:
x + y = y + x and 29 is a prime number.
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Solution
Let p: x + y = y + x
And q: 29 is a prime number.
Then the conjunction in (ii) is given by p ∧ q.
Now ~ p: x + y ≠ y + x
And ~ q: 29 is not a prime number.
Therefore, using (D7), negation of p ∧ q is given by,
~ ( p ∧ q): x + y ≠ y + x or 29 is not a prime number.
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