Which one of the following statements is not a tautology ?

Options

A. ` ( p vee q ) to ( p vee ( ~ q )) `
B. ` ( p wedge q ) to ( ~ p ) vee q `
C. ` p to ( p vee q ) `
D. ` ( p wedge q ) to p `

Explanation

To determine which statement is not a tautology, we need to analyze the given options. A tautology is a statement that is always true, regardless of the truth values of its components.

Let's denote the statements as follows:

1. **Statement A:** \( P \cup Q \)
2. **Statement B:** \( P \lor \neg Q \)
3. **Statement C:** \( P \cup \neg Q \)
4. **Statement D:** \( P \land Q \)
...