Answer
$y$ $\geq$ $-2x+2$
$y$ $\lt$ $3x-2$
Work Step by Step
The points $(0,2)$ and $(1,0)$.Find the slope:
$m=\dfrac{2-0}{0-1}$
$m=-2$
The slope equation is $y=mx+b$
$y=mx+b$
$0=-2(1)+b$
$0=-2+b$
$2=b$
The equation is $y$ $\geq$ $-2x+2$ because $(0,0)$ is not included in the solution area.
The points $(1,1)$ and $(2,4)$.Find the slope:
$m=\dfrac{4-1}{2-1}$
$m=3$
The slope equation is $y=mx+b$
$y=mx+b$
$4=3(2)+b$
$4=6+b$
$-2=b$
The equation is $y$ $\lt$ $3x-2$ because $(0,0)$ is not included in the solution area.
