The expression you provided is:

\[
10 \lt - (a - 9)
\]

To solve this inequality, let's follow these steps:

1. Start by distributing the negative sign on the right-hand side:

\[
10 \lt -a + 9
\]

2. Subtract 9 from both sides:

\[
10 - 9 \lt -a
\]

\[
1 \lt -a
\]

3. Multiply both sides by \(-1\) to isolate \(a\) (remember to reverse the inequality sign when multiplying or dividing by a negative number):

\[
-1 \gt a
\]

Thus, the solution is:

\[
a < -1
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the effect of multiplying or dividing inequalities by negative numbers?
2. How do you solve compound inequalities?
3. What are some real-world examples of using inequalities?
4. How do you graph inequalities on a number line?
5. How do inequalities differ from equations?

**Tip**: When solving inequalities, always remember to flip the inequality sign when multiplying or dividing by a negative number!

Explore how to solve the inequality 10 < -(a - 9) with clear, step-by-step instructions. Learn key algebraic concepts like distribution and inequality manipulation. Suitable for students in Grades 6-8, this guide covers important techniques such as reversing the inequality sign when multiplying or dividing by negative numbers.

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