https://file.aiquickdraw.com/mathbot/file/1726850187976xnnwwb5l.jpg

The image shows a number line representing an interval. Based on the visual information, there is a filled blue dot at \( x = 2 \) and an open circle at \( x = 3 \), with a line connecting the two points.

### Interpretation:
- The **filled dot** at \( x = 2 \) indicates that \( 2 \) is included in the interval.
- The **open circle** at \( x = 3 \) shows that \( 3 \) is not included in the interval.

### Notations:
1. **Inequality Notation:**
   \[
   2 \leq x < 3
   \]
   This means that \( x \) is greater than or equal to \( 2 \) and less than \( 3 \).

2. **Interval Notation:**
   \[
   [2, 3)
   \]
   The square bracket "[" indicates that \( 2 \) is included, and the parenthesis ")" indicates that \( 3 \) is not included.

Would you like further details or have any specific questions?

Here are 5 related questions to explore further:
1. How do you write inequalities for intervals that extend infinitely?
2. What is the difference between open and closed intervals in mathematics?
3. How do you express compound inequalities involving "or" or "and"?
4. What does a number line look like for a union of two intervals?
5. How do you graph inequalities involving absolute value on a number line?

**Tip:** Always pay attention to whether an interval includes or excludes its endpoints when interpreting inequalities or interval notation!

Understand how to represent the interval 2 ≤ x < 3 using inequality and interval notation. The problem highlights key mathematical concepts such as inequalities, open and closed intervals, and their correct representation on a number line. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation