To solve the inequality \( 2x - 2 > 200 \), follow these steps:
- Add 2 to both sides of the inequality:
\[ 2x - 2 + 2 > 200 + 2 \]
This simplifies to:
\[ 2x > 202 \]
- Divide both sides by 2:
\[ x > \frac{202}{2} \]
This gives:
\[ x > 101 \]
So the solution to the inequality is:
\[ x > 101 \]