The graph that shows the solution set for the system of inequalities is graph C.
Which is the graph of the system of linear inequalities?
Here we have the system of linear inequalities:
[tex]y < (-1/3)*x + 1\\\\y \geq 2x- 1[/tex]
For the first one, we can see a line with a negative slope, and y is strictly smaller than that. So we will have a dashed line that goes down, and we need to shade the region below that line.
For the second inequality, we can see that y can be equal to or larger than the line, so this time we will use a solid line (because the points on the line are solutions). and we will shade above that line.
Also notice that this time the slope is positive, so this line goes upwards.
With that general description, we conclude that the correct option will be graph C.
If you want to learn more about inequalities:
https://brainly.com/question/18881247
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