Math worksheet with inequality problems and number line solutions.

It looks like you've uploaded an image containing a series of number line problems, each with inequalities and corresponding number lines. However, the image is blurry and not clearly readable, so I can't extract the exact details from it.

To help you effectively, I need to clarify what the task is. Based on the format, it appears that:

- Each problem gives an inequality (e.g., \( x > 3 \), \( x < -2 \), etc.).
- A number line is shown with a red dot and shading indicating the solution set.
- The goal might be to:
- Match the inequality to the correct number line.
- Write the inequality based on the number line.
- Determine whether the shaded region represents the correct solution.

General Approach to Solving These Problems

Let’s go through how to interpret such problems step by step:

#### Step 1: Understand the Inequality
For example:
- \( x > 3 \): All numbers greater than 3.
- \( x \leq -2 \): All numbers less than or equal to -2.

#### Step 2: Draw or Interpret the Number Line
- Open circle means the endpoint is not included (used for \( > \) or \( < \)).
- Closed circle means the endpoint is included (used for \( \geq \) or \( \leq \)).
- Shading shows which side of the number line satisfies the inequality.

#### Step 3: Match or Verify
Compare the inequality to the number line:
- Is the circle open or closed?
- Is the shading in the correct direction?

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Example Walkthrough

Suppose one problem says:
Inequality: \( x > 4 \)
Number line: Open circle at 4, shading to the right.

✔ This is correct because:
- Open circle at 4 → 4 is not included.
- Shading to the right → values greater than 4.

If instead the number line had a closed circle, it would be wrong because \( x > 4 \) does not include 4.

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If You Can Provide More Details

Since the image is blurry, please provide:
1. The text of one or two problems (e.g., "x > 3" and the description of the number line).
2. Or describe what the task is asking (e.g., “Which number line matches the inequality?”).

Once I have clearer input, I can give you a precise solution and explanation.

Alternatively, if you can upload a clearer version of the image, I’d be happy to analyze it fully.