An inequality is graphed on the coordinate plane below.
 

 
Which of the following points is a solution for the inequality that is graphed?

Select TWO correct answer choices?
A.(4, 6)
B.(−4, 7)
C.(−2, −4)
D.(6, 4)
E.(4, 0)
F.(6, −1)

To determine which points are solutions for the inequality, we need to consider the following aspects:

1. **Examine the inequality**: Typically, when an inequality is graphed, it involves a boundary line, which could either be solid (indicating that points on the line are solutions) or dashed (indicating that points on the line are not included). Additionally, the shaded region indicates the area where solutions to the inequality lie.

2. **Test the points**: Any point that lies within the shaded region is a solution to the inequality. 

Without seeing the exact graph, I will provide guidance on how you could verify the solution using the above steps:
- If the point lies inside the shaded region, it satisfies the inequality.
- If the point lies on the correct side of the boundary line (depending on the shading), it is a solution.
  
You can also plug in the coordinates into the equation of the boundary line (if known) to see if the inequality holds true.

Please provide details about the shading and the boundary line of the inequality if you have them, or an image of the graph, and I can help you determine which points are correct!

Would you like a detailed explanation on how to test the points on the graph?

Here are five related questions for further understanding:

1. How do we determine if a point is above or below a given line on the coordinate plane?
2. What role does the type of boundary line (solid vs. dashed) play in an inequality graph?
3. How can the slope of the boundary line affect which points are solutions?
4. How do you algebraically test a point in an inequality?
5. What does it mean if a point lies exactly on the boundary line?

**Tip**: When graphing inequalities, always look at the direction of the shading. The shaded region indicates the solution set, and the type of line (solid or dashed) determines if the boundary is included in the solution.

An inequality is graphed on the coordinate plane below. Which of the following points is a solution for the inequality that is graphed? Select TWO correct answer choices. A.(4, 6) B.(−4, 7) C.(−2, −4) D.(6, 4) E.(4, 0) F.(6, −1)

Learn how to identify solutions for inequalities graphically. This problem explains the concepts of shading, boundary lines, and point testing to determine which points satisfy a graphed inequality. Suitable for students in Grades 8-10.

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