https://file.aiquickdraw.com/mathbot/file/1725538790626ycr527ah.jpg

The image you uploaded shows a number line with points at -5 and 2. Let's break down the symbols and interpret them to answer the given questions:

1. **Number Line Description**:
   - At \( x = -5 \), there is a **solid dot** (indicating that -5 is included in the interval).
   - At \( x = 2 \), there is an **open circle** (indicating that 2 is not included in the interval).
   - The line between -5 and 2 is shaded, showing that the interval includes all numbers between -5 and 2, but excluding 2.

Now, let's fill out the requested information:

### 1. **Interval Notation**:
   Since -5 is included and 2 is not included, the interval is:
   \[
   [-5, 2)
   \]

### 2. **Inequality**:
   This describes the set of values between -5 and 2, including -5 but excluding 2:
   \[
   -5 \leq x < 2
   \]

### 3. **Set Notation**:
   In set notation, we express this as the set of all \( x \) such that:
   \[
   \{x \mid -5 \leq x < 2\}
   \]

Would you like further details on any of these forms or how to convert between them?

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### Related Questions:
1. How do you convert an open circle and closed dot on a number line to interval notation?
2. What is the difference between set notation and interval notation?
3. How would the interval change if -5 were not included in the solution set?
4. How do we write an inequality if both endpoints were open circles?
5. What does the solid dot at -5 indicate in terms of the inequality?

### Tip:
In interval notation, parentheses \( () \) are used to exclude a number, and brackets \( [] \) are used to include a number.

Based on the number line provided, express the interval, inequality, and set notation.

Learn how to interpret a number line and express it in interval notation, inequality, and set notation. This problem involves understanding closed and open intervals, with a focus on values between -5 and 2.

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