Uustin solved an inequality and made an error. \[ \begin{array}{ll}3.5 t-2.75 \leq 11.25\end{array} \] \( \begin{array}{ll}3.5 t-2.75+2.75 \leq 11.25+2.75 & \text { Which statement best describes Austin's error? } \\ 3.5 t \leq 14 & \text { Austin made an addition error. } \\ \frac{3.5 t}{3.5} \leq \frac{14}{3.5} & \text { Oustin made a division error. } \\ t \geq 4 & \text { Austin should not have changed the inequality } \\ \text { sign. } \\ \text { O Austin should have changed the inequality sign to }\end{array} \)

When solving inequalities, it's crucial to remember that multiplying or dividing by a negative number flips the inequality sign. Since Austin didn't encounter this situation in his calculations, he made an error in interpreting the steps correctly. The correct process is just adding, and he didn't need to change the sign at any step. To reinforce your understanding, consider how inequalities are a part of everyday decision-making! Whether budgeting for a shopping trip or finding a balance between work and leisure, inequalities help us set parameters and make choices. So, remember, in both math and life, clarity in your steps is key!