The inequality described can be written as:
y < 3x + 2.
<h3>How to get the inequality?</h3>
First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:
y < line.
The linear equation is of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
![a = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:
![a = \frac{2 - (-7)}{0 - (-3)} = 9/3 = 3](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B2%20-%20%28-7%29%7D%7B0%20-%20%28-3%29%7D%20%3D%209%2F3%20%3D%203)
And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:
y < 3x + 2.
If you want to learn more about inequalities:
brainly.com/question/2516147
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