Answer:
y[tex]\leq[/tex][tex]\frac{1}{2}[/tex]x-2
it is less than because it is shaded down, its less than or equal to because the line is solid.
Answer:
2y < - x - 4
Step-by-step explanation:
First find the equation of the line in the form y=mx+c (straight line)
The y-intercept is at -2 so c=-2.
For each 2 along the x-axis it goes 1 down the y-axis, so the gradient is -1/2, so m = -1/2
We now have y = -(1/2) x - 2
Try a coordinate, e.g. (0,0) one side of that line:
-(1/2) 0 - 2 = -2
-2 is less than 0, but we don't want (0,0) in the region, so we say
y < -(1/2)x - 2 or
2y < - x - 4
