Answer:
To solve the inequality -18x + 9 > 9 for x, you need to isolate the variable x on one side of the inequality symbol. Here's how to do it:
First, subtract 9 from both sides of the inequality:
-18x + 9 - 9 > 9 - 9
Simplify:
-18x > 0
Next, divide both sides of the inequality by -18, remembering to reverse the direction of the inequality symbol because you are dividing by a negative number:
x < 0/(-18)
x < 0
Therefore, the solution to the inequality -18x + 9 > 9 is x < 0.