The inequality described can be written as:
y < 3x + 2.
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:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:
[tex]a = \frac{2 - (-7)}{0 - (-3)} = 9/3 = 3[/tex]
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:
https://brainly.com/question/2516147
#SPJ1
