Step 1:

The given inequality is $ 3(1-x) < 2( x+4)$

=> $ 3-3x < 2x+8$

Adding -8 and 3x on both sides of the inequality.

$=> 3-8 < 2x +3x$

$=> -5 < 5x$

Dividing both sides of the inequality by a positive number 5.

$=> \large\frac{-5}{5} < \frac{5x}{5}$

$=> -1 < x$

Step 2:

All numbers greater than -1 represent the solution of the given inequality .

The solution set is $(-1, \infty)$

The graphical representation on the number line is