https://file.aiquickdraw.com/mathbot/file/172559116097185pw2kmn.jpg

The image you have shared shows a two-step inequality visual model. Let’s break it down step by step:

### Breakdown:
- There are **3 yellow rectangles**, each labeled **x**, representing the variable.
- On the right side of the inequality, we have a set of **5 red boxes**, each with a value of **-1**, meaning a total of **-5**.
- Additionally, there is **1 yellow square** with the value **+1** on the right-hand side.

The visual model seems to represent an inequality of the form:
\[
3x + 1 \geq -5
\]

### Steps to Solve:
1. **Subtract 1 from both sides** to isolate the terms with \( x \):
   \[
   3x \geq -5 - 1
   \]
   \[
   3x \geq -6
   \]

2. **Divide both sides by 3** to solve for \( x \):
   \[
   x \geq \frac{-6}{3}
   \]
   \[
   x \geq -2
   \]

Thus, the solution to the inequality is:
\[
x \geq -2
\]

### Conclusion:
The values of \( x \) that make the inequality true are \( x \geq -2 \).

Would you like further details on how the model works or how this is applied in different scenarios? Here are five follow-up questions for better understanding:

1. How can you apply this method to solve different types of inequalities?
2. What happens if the inequality is reversed (e.g., \( 3x + 1 \leq -5 \))?
3. Can you represent this inequality on a number line?
4. How do you interpret visual models in cases of multiplication or division involving negative numbers?
5. What is the difference between an inequality and an equation?

**Tip:** Always remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign!

What values of x make the inequality true based on the given visual model?

Learn how to solve a two-step linear inequality using a visual model. The problem demonstrates key algebraic concepts like solving inequalities and isolating variables. Suitable for students in Grades 6-8.

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