https://file.aiquickdraw.com/mathbot/file/1727309479297h7ackciq.jpg

The inequality in the image is:

\[
-6 \leq x - 11
\]

### Steps to solve for \( x \):

1. Add 11 to both sides of the inequality to isolate \( x \):
   \[
   -6 + 11 \leq x
   \]
   \[
   5 \leq x
   \]

Thus, the solution is:
\[
x \geq 5
\]

This means that \( x \) must be greater than or equal to 5.

Would you like more details or have any other questions? Here are some related questions:

1. How do you graph the solution of this inequality?
2. Can you explain how inequalities are different from equations?
3. What happens if the inequality symbol was reversed?
4. How do we solve inequalities with variables on both sides?
5. Can this inequality be expressed in interval notation?

**Tip**: When solving inequalities, always remember to reverse the inequality symbol if you multiply or divide both sides by a negative number!

Learn how to solve the inequality -6 ≤ x - 11 with a step-by-step solution. This problem covers key algebraic concepts, including the addition property of inequalities. Suitable for students in Grades 6-8.

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