Question

This graph shows the solution to which inequality?

Answer 1

The graph shows the solution to inequality is; y > ¹/₃x - 2

How to interpret Inequality Graphs?

From the given graph, we see that the line joining the two dotted coordinates is a dashed line and as such the inequality will be less than or greater than.

Now, If a line passing through two points, then the equation of line is;

y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)

Using the two given coordinates, we have;

y - (-3) = [(-1 - (-3))/(3 - (-3))](x - (-3))

y + 3 = (2/6)(x + 3)

y = ¹/₃x - 2

Since the related line is dashed and the shaded region is above the line, therefore the sign of inequality is >.

The graph shows the solution to inequality is;

y > ¹/₃x - 2

Read more about Inequality Graphs at; brainly.com/question/11234618

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