The graph is a linear inequality, and the inequality that describes the graph is y < 2x - 1
How to determine the inequality?
From the graph, we have the following features:
- y-intercept, b = -1
- It passes through the points (0,-1) and (1,1)
- The line is a dotted line and the lower region are shaded; so, we make use of the < inequality
Next, we calculate the slope using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{1 + 1}{1 - 0}[/tex]
m = 2
The inequality is then calculated using:
y < mx + b
This gives
y < 2x - 1
Hence, the inequality that describes the graph is y < 2x - 1
Read more about inequality at:
https://brainly.com/question/11234618
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