To solve the inequality \(-2.4(x - 6) \geq 52.8\), we start by isolating \(x\).
1. Distribute \(-2.4\):
\[
-2.4x + 14.4 \geq 52.8
\]
2. Subtract \(14.4\) from both sides:
\[
-2.4x \geq 52.8 - 14.4
\]
\[
-2.4x \geq 38.4
\]
3. Divide both sides by \(-2.4\). Remember to flip the inequality sign when dividing by a negative number:
\[
x \leq \frac{38.4}{-2.4}
\]
\[
x \leq -16
\]
Now, the solution set is