1. 
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 solve this problem, we need to understand the inequality being graphed on the coordinate plane. Typically, the inequality divides the plane into two regions: one where the inequality holds true (the solution region) and one where it doesn't. The boundary line is either solid (indicating ≤ or ≥) or dashed (indicating < or >). Points in the solution region satisfy the inequality.

### Step-by-Step Approach:
1. **Examine the boundary**: Look at the boundary line. If it's solid, points on the line satisfy the inequality. If it's dashed, points on the line do not satisfy the inequality.
2. **Shade region**: Look at the shaded region. The solution to the inequality will be in this shaded region.
3. **Test points**: Plug the coordinates of the points into the inequality (if it's known) or visually check if the points lie within the shaded area.

Without a specific image, I'll explain how to proceed based on these steps:
- **Points that satisfy the inequality** lie within the shaded region (or on a solid boundary).
- If the graph is given, check which of the points (A-F) are located in the shaded region.

### Let me know if you'd like more help interpreting the inequality, and feel free to share the graph if you have it!

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Here are five related questions that could expand on this:
1. How do you determine whether a point lies on the boundary line or not?
2. What is the difference between dashed and solid boundary lines in inequalities?
3. How do you test a point in an inequality algebraically?
4. What happens if the inequality includes an "or equal to" sign (≥ or ≤)?
5. How do you graph an inequality in two variables?

**Tip**: When graphing inequalities, always check the direction of the inequality symbol to determine which side of the line should be shaded.

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 points that satisfy a graphed inequality in the coordinate plane. This problem explores key concepts in graphing inequalities, including testing points and understanding shaded regions. Suitable for Grades 7-9 students, with a step-by-step guide to solving the problem.

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