Answer
$\{t|t \geq \frac{-7}{3}\} \cap \{t \leq 3 \}$
Work Step by Step
$|4.5t-1.5|\leq 12 $
$-12 \leq 4.5t-1.5 \leq 12$
$-10.5 \leq 4.5t \leq 13.5$
$\frac{-7}{3} \leq t \leq 3$
The solutions of the inequality are given by $ \frac{-7}{3} \leq t \leq 3$. You can write this as $t \geq \frac{-7}{3}$ and $t\leq3$. This compound inequality is the intersection of two sets, which you can write as follows: $\{t|t \geq \frac{-7}{3}\} \cap \{t \leq 3 \}$
