Answer
Solution set is Null
$\{\}$
Work Step by Step
$3x+1 \lt 3(x-2)$
$3x+1 \lt 3x-6$
Add $-3x$ to both sides.
$3x+1-3x \lt 3x-6-3x$
$1 \lt -6$
This inequality is a false statement. So the inequality equation has no solution. Its solution set is $\{\}$.