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Write An inequality to describe each of the following graphs;then write An equivalente negated inequality

The graph you provided is a number line showing different regions marked by arrows at both ends. It looks like the arrows are pointing left from -3 and right from 3. Here’s the detailed analysis:

### Describing the Inequality:
1. The arrows at the ends suggest the values are less than or equal to -3 or greater than or equal to 3.

The inequality that describes this graph is:
\[
x \leq -3 \quad \text{or} \quad x \geq 3
\]

### Negated Inequality:
The negated form of this inequality would describe the values that are strictly between -3 and 3:

\[
-3 < x < 3
\]

### Summary:
- **Original Inequality:** \( x \leq -3 \) or \( x \geq 3 \).
- **Negated Inequality:** \( -3 < x < 3 \).

Would you like further details or explanations?

Here are some related questions you might find interesting:
1. How do you represent compound inequalities on a number line?
2. What is the difference between strict inequalities and inclusive inequalities?
3. How do you solve compound inequalities involving "and" & "or"?
4. How can inequalities be applied in real-world scenarios?
5. What are common mistakes to avoid when writing and interpreting inequalities?

**Tip:** Always pay attention to whether the inequality is strict (<, >) or inclusive (≤, ≥), as this changes the boundary points included in the solution.

Write an inequality to describe the graph; then write an equivalent negated inequality.

Learn how to describe inequalities on a number line with compound inequalities. The problem involves understanding regions on a number line and writing both the inequality and its negation. This topic is suitable for students in Grades 6-9 and covers key algebra concepts.

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