"Compound statements are statements using two or more logic operations. Creating a truth table is a systematic way of determining when a compound statement is true and when it is false. "
I read those lines somewhere. Were those correct? If these are correct , Can you please let me know whether compound statement is considered as statement or not. Because as far as the definition of statement or proposition is concerned , statement is always associated with a unique truth value. But compound statement's truth value may vary. So compound statement is not necessarily a statement.
E.g - If $x^2 - y^2 = 0 $ then $x = y$.
It will be true when $2,2$ but false when $2, -2$.so the truth value is varying.
Can you please correct me if I am wrong anywhere?