Answer
$(-\infty, \infty)$
Work Step by Step
Step 1. Given $4(3x-2)-3x\lt 3(1+3x)-7$, we have $12x-8-3x\lt 3+9x-7$ or $12x-3x-9x\lt 3-7+8$ which leads to $0\lt 4$
Step 2. As the above inequality is true for all $x$ values in the domain, the solution can be written as $(-\infty, \infty)$ and the interval is represented by the entire number line.
