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