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Question
Write the truth value of the following statement:
∀ n ∈ N, n2 + n is even number while n2 – n is an odd number.
Solution
Let p: ∀ n ∈ N, n2 + n is an even number.
q: ∀ n ∈ N, n2 − n is an odd number.
Then the symbolic form of the given statement is p∧q.
The truth values of p and q are T and F respectively. ∴ The truth value of p∧q is F. ..........[T∧F ≡ F].
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