The inequality of the graph is a linear inequality
The inequality shown in the graph is y > -2x -2
The points on the graph are given as:
(x,y) = (-2,2) and (0,-2)
The slope (m) is calculatedusing:
m = (y2 - y1)/(x2 - x1)
This gives
m =(-2 - 2)/(0 + 2)
Evaluate
m = -2
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = -2(x - 0) -2
y = -2x -2
The upper part of the graph is shaded with a dotted line, so the inequality is a greater than inequality
The equation becomes
y > -2x -2
Hence, the inequality shown in the graph is y > -2x -2
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