Solve.

−25x−9<910

To solve this inequality, we need to isolate the variable x.

First, we can add 9 to both sides of the inequality to get:

-25x < 910 + 9

Simplifying this, we have:

-25x < 919

Next, we divide both sides of the inequality by -25. However, we need to be careful because dividing by a negative number flips the inequality sign. Therefore, we have:

x > 919 / -25

x > -36.76

Therefore, the solution to the inequality is x > -36.76.

To solve the inequality −25x−9<910, we can follow these steps:

Step 1: Add 9 to both sides of the inequality:
−25x−9+9<910+9
−25x<919

Step 2: Divide both sides of the inequality by −25. Remember that when we divide by a negative number, we have to flip the inequality sign:
−25x/−25>919/−25
x>−36.76

So the solution to the inequality is x>−36.76.