To solve the inequality -25 - 2x - 5 > -29, we can follow these steps:
1. Simplify the left side of the inequality:
-25 - 2x - 5 simplifies to -30 - 2x.
2. Rewrite the inequality with the simplified expression:
-30 - 2x > -29.
3. Add 30 to both sides to isolate the variable:
-30 - 2x + 30 > -29 + 30
-2x > 1.
4. Divide both sides of the inequality by -2. Since we are dividing by a negative number, we need to flip the inequality sign:
-2x / -2 < 1 / -2
x < -1/2.
Therefore, the solution to the inequality is x < -1/2.