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Question
Write the negation of the following.
It is cold and raining.
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Solution
Given statement is "It is cold and raining."
Let p : It is cold.
q : It is raining.
Then the symbolic form of the given statement is p ∧ q.
The negation of a statement is the opposite truth of given statement and denoted by symbol ∼.
Since ∼ (p ∧ q) ≡ ∼ p ∨ ∼ q, the negation of the given statement is:
It is not cold or not raining.
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