Question

Which of the following expression is a tautology?

• A. \(p \land \text{False}\)
• B. \(p \land \text{True}\)
• C. \(p \lor \text{False}\)
• D. \(p \lor \text{True}\)

Hint:

Use truth tables to evaluate expressions and verify tautologies — always result in “True”.

Answer 1

The Correct Option is D

A tautology is a proposition that is always true, regardless of the truth value of its components. \(p \lor \text{True} = \text{True}\) for any \(p\), hence it is a tautology.