Which point is in the solution set of the system of inequalities shown in the accompanying graph?
A. (0,4)
B. (2,4)
C. (-4,1)
D. (4,-1)

The point (-4, 1) is in the solution set of the system of inequalities.

An inequality shows the non equal comparison between two numbers or variables.

Given the inequalities as shown in the graph, the solution set of the inequalities is the point that lies on the dark shaded portion.  

The dark shaded portion is the solution of the inequality.

From the graph the point (-4, 1) lies on the dark shaded portion.

Therefore the point (-4, 1) is in the solution set of the system of inequalities.

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Option c.

Step-by-step explanation:

The dotted line means that the points in the line do not belong to the system, while the other line has all the points on the line.

Now, the point we are looking for must be a solution for both inequalities, so it must be in the region of the graph that is double shaded. (this would be the area at the left)

You now can take each point and see where it is located in the graph, if it is inside the double shaded area, then it is the correct answer.

Now, you will see that the only point that lies inside the double shaded area is the point (-4,1), so the correct option is c.

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!