Solve and show your work.
−25x−9<910
To solve the inequality, we can isolate the variable x by performing the necessary operations.
By adding 9 to both sides of the inequality, we get:
-25x - 9 + 9 < 910 + 9
Simplifying both sides:
-25x < 919
To isolate x, we can divide both sides of the inequality by -25. It's important to remember that when dividing by a negative number, the inequality sign must be flipped.
(-25x)/(-25) > 919/(-25)
Simplifying both sides:
x > -36.76
Therefore, the solution to the inequality is x > -36.76.