https://file.aiquickdraw.com/mathbot/file/1726314061149zlbdt3fw.jpg

Slice Name
Equations and Inequalities
Topic Name
Writing a compound inequality given a graph on the number line



In the given graph, two points are marked on the number line at -3 and 3. Both of these points have filled circles, meaning that the values -3 and 3 are included in the inequality. The shaded portion of the graph appears to cover the range between -3 and 3, indicating that the inequality is bounded between these two points.

### The compound inequality is:

\[
-3 \leq x \leq 3
\]

This inequality states that \(x\) is greater than or equal to -3 and less than or equal to 3.

---

Would you like further details or have any questions on this topic?

Here are 5 related questions to further your understanding:

1. What is the difference between "and" and "or" in compound inequalities?
2. How do we represent open and closed intervals on a number line?
3. Can compound inequalities involve more than two conditions?
4. How do we solve compound inequalities involving variables on both sides?
5. What is the relationship between compound inequalities and absolute value inequalities?

**Tip**: When you see filled circles on a number line, it indicates that the endpoints are included in the inequality (represented by "≤" or "≥").

Write a compound inequality for the graph shown below. Use x for your variable. The number line shows a range between -3 and 3 with filled circles at both endpoints.

Learn how to write a compound inequality based on a graph with a number line. This problem involves closed intervals and requires understanding of compound inequalities and number line representation. 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