1. The problem asks to identify which sentences are propositions and determine their truth values. 2. A proposition is a declarative sentence that is either true or false, but not both. 3. Analyze each sentence: a. "123 is a prime number." This is a declarative sentence and can be true or false. Since 123 is divisible by 3, it is not prime. So, it is a proposition with truth value False. b. "0 is an even number." This is a declarative sentence. Zero is divisible by 2, so it is even. Thus, it is a proposition with truth value True. c. "$x^2 - 4 = 0$." This is an equation with a variable $x$, not a statement that is definitively true or false without specifying $x$. Therefore, it is not a proposition. d. "Multiply $5x + 2$ by 3." This is a command, not a declarative sentence, so it is not a proposition. e. "What an impossible question!" This is an exclamation, not a declarative sentence, so it is not a proposition. Final answers: - a: Proposition, False - b: Proposition, True - c: Not a proposition - d: Not a proposition - e: Not a proposition