To solve the inequality $-6 < x - 11$, follow these steps:

1. Start with the inequality: $-6 < x - 11$

2. Add 11 to both sides to isolate $x$: $-6 + 11 < x$

3. Simplify the left side: $5 < x$ This can also be written as: $x > 5$

Thus, the number that belongs in the green box is 5.

Would you like more details or have any questions about this solution?

Here are 5 related questions to expand your understanding:

1. How would the inequality change if it were $-6 \leq x - 11$?
2. What happens if you have a negative variable coefficient, like $-2x < 4$?
3. How would you graph the solution $x > 5$ on a number line?
4. What is the effect of multiplying or dividing both sides of an inequality by a negative number?
5. How can you check if a number is a solution to an inequality?

Tip: When solving inequalities, always remember to reverse the inequality sign when you multiply or divide by a negative number.