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 know the equation or inequality of the boundary line and whether the region above or below this line is shaded.

Since you haven't provided the graph, I'll guide you on how to solve it:

1. **Identify the boundary line**: This will either be a solid or dashed line on the graph.
   - A **solid line** means the inequality includes points on the line (≤ or ≥).
   - A **dashed line** means the inequality does **not** include points on the line (< or >).
   
2. **Check the shading**: The solution to the inequality will be the region that is shaded.
   - If the inequality is greater than (y > mx + b or y ≥ mx + b), the shaded region will be **above** the line.
   - If the inequality is less than (y < mx + b or y ≤ mx + b), the shaded region will be **below** the line.

3. **Test the points**: Plug the x and y coordinates of each point into the inequality. If the point satisfies the inequality, then it's a solution.

Without seeing the graph, here's what you can do:
- Look at the region where the points (4, 6), (−4, 7), (−2, −4), (6, 4), (4, 0), and (6, −1) are located.
- If the region containing the points is shaded, then that point is a solution to the inequality.

If you provide more details about the graph or upload an image, I can give you a more precise answer.

Do you have the graph or any more information? Or would you like further explanation on how to test the points? 

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### 5 Related Questions:
1. What does it mean when a boundary line is dashed versus solid in inequalities?
2. How can you determine if a point is on the boundary line of an inequality?
3. What are the steps to graph a linear inequality?
4. How can we interpret the slope and y-intercept of a line from its graph?
5. What is the process to write an inequality from a shaded graph?

### Tip:
Always test a point from the shaded region (e.g., (0,0) if it's not on the boundary line) to see if it satisfies the inequality.

Which of the following points is a solution for the inequality that is graphed? Select TWO correct answer choices?

Explore how to identify solutions to inequalities on a coordinate plane. This guide helps you understand how to determine if points like (4, 6) and (−4, 7) satisfy the graphed inequality. Perfect for Grades 8-10 students.

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