−25>−2x−5>−29

Sure, let's solve this compound inequality step by step.

1. First, let's break down the compound inequality into two separate inequalities:

   -25 > -2x - 5 -2x - 5 > -29

2. Now, let's solve each inequality separately.

   For -25 > -2x - 5, add 5 to both sides to get:

   -20 > -2x

   Then, divide both sides by -2. Remember, when you divide or multiply an inequality by a negative number, you must flip the inequality sign. So, we get:

   x < 10

3. For -2x - 5 > -29, add 5 to both sides to get:

   -2x > -24

   Then, divide both sides by -2. Remember to flip the inequality sign. So, we get:

   x < 12

4. Therefore, the solution to the compound inequality -25 > -2x - 5 > -29 is x < 10 and x < 12. Since x must satisfy both conditions, the final solution is x < 10.