1.

Write the truth values of the following statements :\(\forall\) n ∈ N, n2 + n is even number while n2 – n is an odd number.

Answer»

Let p : \(\forall\) n ∈ N, n2 + n is an even number.

q : \(\forall\) n ∈ N, n – 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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