Answer
(-$\infty$, 9)
Work Step by Step
0.4( 4x - 3 ) $\lt$ 1.2( x + 2 )
$\frac{4}{10}$( 4x ) - $\frac{4}{10}$( 3 ) $\lt$ $\frac{12}{10}$( x ) + $\frac{12}{10}$( 2 )
$\frac{8}{5}$x - $\frac{6}{5}$ $\lt$ $\frac{6}{5}$x + $\frac{12}{5}$
8x - 6 $\lt$ 6x + 12
2x $\lt$ 18
x $\lt$ 9
In interval notation, the solution set is (-$\infty$, 9)