https://file.aiquickdraw.com/mathbot/file/1726081448023hkm8iyli.jpg

The inequality given in the image is:

\[
x - 3 \leq 9
\]

To solve for \(x\), follow these steps:

1. Add 3 to both sides of the inequality to isolate \(x\):
   \[
   x - 3 + 3 \leq 9 + 3
   \]
   Simplifying:
   \[
   x \leq 12
   \]

Thus, the solution to the inequality is:

\[
x \leq 12
\]

Would you like more details on this solution, or do you have any questions?

Here are 5 related questions:
1. How would the solution change if it were \(x - 3 \geq 9\)?
2. How do you solve inequalities involving multiplication or division by a negative number?
3. What is the difference between solving equations and inequalities?
4. How do you graph the solution \(x \leq 12\) on a number line?
5. What happens if you reverse the inequality sign when solving?

**Tip:** Always remember, when multiplying or dividing both sides of an inequality by a negative number, the inequality sign flips!

Learn how to solve the linear inequality x - 3 ≤ 9 by isolating the variable and simplifying the inequality. This problem covers basic algebra concepts suitable for Grades 6-8.

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