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Question
Find the truth value of the following statement.
Neither 27 is a prime number nor divisible by 4.
Solution
Let p : 27 is a prime number.
q : 27 is divisible by 4.
The truth values of p and q are F and F respectively.
The given statement in symbolic form is ~ p ∧ ~ q.
∴ ~ p ∧ ~ q ≡ ~ F ∧ ~ F ≡ T ∧ T ≡ T
∴ Truth value of the given statement is T.
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