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Which inequality is shown in this graph?
6
5
(-2, 2)
-5
5
(0, -2)


Sagot :

The inequality of the graph is a linear inequality

The inequality shown in the graph is y > -2x -2

How to determine the inequality?

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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