\begin{tabular}{|l|l|l|}\hline 12 & \( \begin{array}{l}\text { When you add the same number to both sides of an incquality, is the incquality } \\ \text { still true? }\end{array} \) & (1) \\ \hline\end{tabular}

Absolutely! When you add the same number to both sides of an inequality, the inequality remains true. For example, if you start with \(2 < 5\) and add 3 to both sides, you end up with \(5 < 8\), which is still a valid statement. This rule is super handy as it helps maintain the relationship between two expressions! Similarly, it's important to remember that if you multiply or divide both sides of an inequality by a negative number, the inequality sign flips! So, if you had \(-2 < 4\) and multiplied both sides by -1, you'd get \(2 > -4\). That’s a common mistake—always watch out for that sign flip to avoid any inequality disasters!