The inequality represented by the graph is [tex]y < -\frac 15x + 1[/tex]
The attached image represents the missing piece of the question
From the graph, we can see that the inequality is represented by dotted lines and the down region is shaded.
This is represented using the less than sign.
So, the inequality is calculated using:
[tex]y < \frac{y_2 -y_1}{x_2 -x_1} * (x -x_1) + y_1[/tex]
Where:
(x1, y1) = (0, 1) and (x2, y2) = (5,0)
So, we have:
[tex]y < \frac{0 -1}{5-0} * (x -0) + 1[/tex]
Evaluate
[tex]y < -\frac 15x + 1[/tex]
Hence, the inequality represented by the graph is [tex]y < -\frac 15x + 1[/tex]
Read more about inequality at:
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