Validating Statements

Statements in mathematics are not just sentences — they are claims that must be either true or false. But how do you decide whether a statement like "If $x > 2$, then $x^2 > 4$" is actually valid? Validating a statement means checking its truth value using logic, not guesswork. This section gives you the tools to test such claims systematically, using counterexamples, truth tables, and …