Question

Write the truth value of the following statement:

∀ n ∈ N, n² + n is even number while n² – n is an odd number.

Answer 1

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].