Which of the following statements is a tautology?

Solution

1. A tautology is defined as a compound proposition that is always true, regardless of the truth values of its individual components.
2. Evaluate the expression $p\vee (\neg p)$ using a truth table: if $p$ is true, then $\neg p$ is false, making the disjunction true; if $p$ is false, then $\neg p$ is true, also making the disjunction true.
3. Since $p\vee (\neg p)$ results in a true value in all possible cases, it satisfies the definition of a tautology.
4. Hence the answer is (A).