Let P(x) represent the statement: "x is a prime number". The truth values for different values of x would be: P(2) T P(3) T P(4) F P(5) T P(6) F P(x) is NOT a proposition. P(x) is a predicate because whenever x is replaced by a value, the result is a proposition. Therefore, the statements: P(2), P(3), P(4), P(5), and P(6) are all propositions because they are unambiguously either true or false. Exploring the Model Questions 1. In the model above what is the predicate P(x) in English? 2. How many values were given for x? 3. For which values of x was the proposition true