how can i solve the inequality x+9>12 do i subtract -9 from both sides?

yes

x+9>12

x+9-9>12-9
x>3

Yes, you are correct! To solve the inequality x + 9 > 12, you can start by subtracting 9 from both sides of the inequality.

Here's an explanation of the steps to solve it:

1. Begin with the original inequality: x + 9 > 12.
2. To isolate the variable x, you need to get rid of the constant term on the left side (9) by subtracting 9 from both sides:
x + 9 - 9 > 12 - 9.
Simplifying this, you have x > 3, as 9 - 9 is 0.

After subtracting 9 from both sides, the inequality becomes x > 3. This means that any number greater than 3 would satisfy the inequality.