Answer
$(\frac{14}{3}, ∞)$
Work Step by Step
$-6x+2 \lt -3(x+4)$
Using Distributive property,
$-6x+2 \lt -3x-12$
Add $12$ on both sides.
$-6x+2+12 \lt -3x-12+12$
$-6x+14 \lt -3x$
Add $6x$ on both sides.
$-6x+14+6x \lt -3x+6x$
$14\lt 3x$
Divide by $3$ on both sides.
$\frac{14}{3} \lt x$ is same as $ x \gt \frac{14}{3}$
Interval Notation : $(\frac{14}{3}, ∞)$
