Answer
$y \geq -2x+4$
.
Work Step by Step
"The product of $-2$ and x":$\quad -2x$
"$y$ is at least 4 more than (...) " means $y \geq 4+($...$)$
$y \geq 4+(-2x),$ or
$y \geq -2x+4$
Graph the border line
$\geq$ inequality sign $\Rightarrow$ solid line
border line:$\quad y=f(x)=-2x+4,$
y-intercept = 4, (0,4) is on the line,
for x=2, y=0, so (2,0) 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:
$0 \geq -2(0)+4\quad?$
No. Shade the region that does not contain (0,0)
