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The inequality given is:

\[
11 \leq z - 10
\]

### Steps to solve the inequality:

1. **Add \(10\) to both sides** to isolate \(z\):
   \[
   11 + 10 \leq z
   \]

2. **Simplify the left-hand side**:
   \[
   21 \leq z
   \]

### Final answer:

\[
z \geq 21
\]

This means that \(z\) must be greater than or equal to \(21\).

Would you like more details or have any other questions?

Here are some related questions:
1. How can you graph the inequality \( z \geq 21 \) on a number line?
2. What happens if you multiply or divide both sides of an inequality by a negative number?
3. What is the difference between a strict inequality and a non-strict inequality?
4. Can you give an example of a real-life situation that can be modeled by an inequality like \( z \geq 21 \)?
5. How would the solution change if the inequality had been \( 11 \leq z + 10 \) instead?

**Tip:** When solving inequalities, remember that multiplying or dividing both sides by a negative number flips the inequality sign.

Solve the inequality for z: 11 ≤ z - 10. Simplify your answer as much as possible.

Learn how to solve the inequality 11 ≤ z - 10 by isolating the variable z and simplifying the solution. This algebra problem covers key concepts related to solving linear inequalities, suitable for students in Grades 7-9.

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