To solve the inequality \(-4 \geq x - 11\), we can isolate \(x\) by performing the following steps:

1. **Add 11 to both sides** to get rid of the \(-11\) on the right-hand side:
   \[
   -4 + 11 \geq x - 11 + 11
   \]
   Simplifying this:
   \[
   7 \geq x
   \]
   or equivalently:
   \[
   x \leq 7
   \]

Thus, the solution to the inequality is:
\[
x \leq 7
\]

Let me know if you'd like more details or if you have any other questions!

### Related Questions:
1. What happens if you multiply or divide both sides of an inequality by a negative number?
2. How do you graph the solution \(x \leq 7\) on a number line?
3. Can you solve \(x - 11 \geq -4\) and compare the result?
4. What is the difference between solving equations and inequalities?
5. How do inequalities behave with absolute values?

### Tip:
When solving inequalities, always be careful with the direction of the inequality, especially when multiplying or dividing by a negative number—it reverses the inequality sign.

Learn how to solve the inequality −4 ≥ x − 11 in this step-by-step guide. This solution covers key algebraic concepts such as inequalities and the addition property of inequalities. Perfect for students in Grades 6-8.

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