Solve using the addition principle:

2x+9>x+14, x+9-9> 14 - 9, x>5 is this right?

yes.

Thank you.

To solve the inequality using the addition principle, you need to isolate the variable x on one side of the inequality sign:

Given inequality: 2x + 9 > x + 14

1. Start by subtracting x from both sides to move the x term to one side:
2x - x + 9 > x - x + 14
x + 9 > 14

2. Next, subtract 9 from both sides to isolate the x term:
x + 9 - 9 > 14 - 9
x > 5

So, the solution to the inequality is x > 5.

Therefore, your final answer is correct: x > 5.