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The problem asks to solve the inequality:

\[
-11z + 45 > -10
\]

Let's solve it step-by-step:

1. **Isolate the variable**:
   \[
   -11z + 45 > -10
   \]
   Subtract 45 from both sides:
   \[
   -11z > -10 - 45
   \]
   \[
   -11z > -55
   \]

2. **Divide by -11**:
   Since we are dividing by a negative number, the inequality sign will flip.
   \[
   z < \frac{-55}{-11}
   \]
   \[
   z < 5
   \]

3. **Solution in interval notation**:
   Since \( z \) must be less than 5, but not equal to it, the solution in interval notation is:
   \[
   (-\infty, 5)
   \]

So, the correct answer is:

**B. The solution set is \((- \infty, 5)\)**.

Would you like more details or have any questions?

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Here are some related questions to extend your understanding:

1. How do you handle inequalities when multiplying or dividing by negative numbers?
2. What is the difference between open and closed intervals in interval notation?
3. How would the solution change if the inequality was \( \geq \) instead of \( > \)?
4. How can you verify if an interval solution is correct for an inequality?
5. Can inequalities be solved by graphing on a number line?

**Tip**: Always remember to reverse the inequality sign when you multiply or divide by a negative number in inequalities.

Solve the inequality: -11z + 45 > -10 and write the solution in interval notation.

Learn how to solve the inequality -11z + 45 > -10 and express the solution in interval notation. This guide covers key algebraic techniques, including isolating variables and handling inequalities, suitable for students in Grades 9-10.

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