Answer
$y \geq -3x+2$
.
Work Step by Step
"The product of $-3$ and x":$\quad -3x$
"$y$ is at least $2$ more than (...) " means $y \geq 2+($...$)$
$y \geq 2+(-3x),$ or
$y \geq -3x+2$
Graph the border line
$\geq$ inequality sign $\Rightarrow$ solid line
border line:$\quad y=f(x)=-3x+2,$
y-intercept =$ 2$, ($0,2$) is on the line,
for x=2, y=$-4$, so ($2,-4$) is on the line.
Two points: draw the line.
Shading the solution set:
(0,0) is not on the line and we use it as a test point:
$0 \geq -3(0)+2\quad?$
No. Shade the region that does not contain (0,0).