Answer:
1st option x < -4.
Explanation:
First, let's simplify the left-hand side of the inequality:
2x-2 > 4x+6
subtract both sides by 2x
2x-2-2x > 4x+6-2x
-2 > 2x+6
Then, let's subtract 6 from both sides of the inequality:
-2 - 6 > 2x+6 - 6
-8 > 2x
Finally, let's divide both sides of the inequality by 2:

-4 > x
Therefore, the solution to the inequality is 1st option x < -4.