https://file.aiquickdraw.com/mathbot/file/1728387429531jfp5phzk.jpg

Let's solve the inequality step by step. The given inequality is:

\[
-8 > 11 + x
\]

### Step 1: Isolate the variable \(x\)

Subtract 11 from both sides to move the constant to the left side:

\[
-8 - 11 > x
\]

This simplifies to:

\[
-19 > x
\]

### Step 2: Rewrite the inequality

We can rewrite this as:

\[
x < -19
\]

Thus, the number that belongs in the green box is **-19**.

Let me know if you need more details or have any questions! Here are five related questions you might want to explore:

1. What happens if we multiply or divide both sides of an inequality by a negative number?
2. How do inequalities change when solving for absolute values?
3. Can you graph the solution for this inequality on a number line?
4. What is the difference between solving equations and inequalities?
5. How do we solve compound inequalities that involve "and" or "or" conditions?

**Tip:** When solving inequalities, if you multiply or divide by a negative number, you must reverse the inequality sign.

Solve the inequality: -8 > 11 + x and find the value for x.

Learn how to solve the inequality -8 > 11 + x step by step. This algebra problem focuses on understanding how to isolate the variable x and correctly solve for inequalities. Suitable for students in Grades 7-8.

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