Let's solve the inequality step by step.
The original inequality is:
\[ x + 8 > 10. \]
To isolate \( x \), we subtract 8 from both sides:
\[ x > 10 - 8, \] \[ x > 2. \]
Now we also have the additional inequalities you've provided: \( x > 18 \) and \( x > 2 \).
The critical points are:
- \( x > 2 \)
- \( x > 18 \)
Since \( x > 18 \) is a stricter requirement than \( x > 2 \), the solution to the system of inequalities is simply:
\[ x > 18. \]
Thus, the final solution is:
Final Answer: \( x > 18 \)