https://file.aiquickdraw.com/mathbot/file/1729767630707kj23dowo.jpg

The number line shows an open circle at \( y = -3 \) and a closed circle at \( y = 2 \), with a line connecting them, indicating the interval.

- The open circle at \( y = -3 \) means that this value is not included in the solution.
- The closed circle at \( y = 2 \) means that this value is included in the solution.

Thus, the inequality that represents the number line is:
\[
-3 < y \leq 2
\]

Would you like further details or have any questions?

Here are five related questions to expand your understanding:
1. How do you represent inequalities on a number line when both endpoints are closed?
2. What changes in the inequality if the open circle is replaced with a closed circle?
3. How can you express the inequality \( -3 < y \leq 2 \) in interval notation?
4. How do you solve an equation with a compound inequality?
5. What does it mean for a number to satisfy a strict inequality versus a non-strict inequality?

**Tip:** Remember that open circles on a number line mean the endpoint is not included (strict inequality), while closed circles mean the endpoint is included (non-strict inequality).

Write down the inequality shown on the number line.

Learn how to represent the inequality -3 < y ≤ 2 on a number line. This problem covers key mathematical concepts related to inequalities and their graphical representation on number lines. 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