Answer
$x\lt 4$ or $(-\infty,4)$
Work Step by Step
Step 1. Graph the left side $y_1=-3(x-6)$ as shown in the figure (red line).
Step 2. Graph the left side $y_2=2x-2$ as shown in the figure (green line).
Step 3. The intersect can be found at $(4,6)$
Step 4. For the red line to lie above the green line $y_1\gt y_2$, we have $x\lt 4$ or the interval $(-\infty,4)$
