Final answer:
The solution is x < 5.
Step-by-step explanation:
To solve the inequality x + 2 > 3x - 8, we need to isolate the variable x on one side of the inequality sign.
Here are the steps:
- Subtract x from both sides to get 2 > 2x - 8.
- Add 8 to both sides to get 10 > 2x.
- Divide both sides by 2 to get 5 > x.
Therefore, the solution to the inequality is x < 5.