solve the inequality -10f + 9 < 102

To solve the inequality -10f + 9 < 102, we need to isolate the variable f.

First, let's subtract 9 from both sides of the inequality:
-10f + 9 - 9 < 102 - 9
-10f < 93

Next, we divide both sides of the inequality by -10, remembering that when we divide or multiply both sides of an inequality by a negative number, we need to reverse the inequality sign:
(-10f)/(-10) > 93/(-10)
f > -9.3

The solution for the inequality -10f + 9 < 102 is f > -9.3.