Answer:
Option 4
Step-by-step explanation:
It is clear that the line shown in the graph cuts to the y-axis at y = -1. Therefore, the equation that represents the line in the graph must be equal to -1 when x = 0.
The area that covers the inequality is below the line. Therefore, in this inequality the y-axis values must be less than the values of the linear function. That is to say:
[tex]y <f (x)[/tex].
The only option that meets these conditions is option 4. Therefore the inequality represented in the image is: [tex]y < \frac{2}{3}x -1[/tex]
Observe that:
If x = 0
Then
[tex]y = \frac{2}{3}(0) -1\\\\y = -1.[/tex]
