-(7c-18)-2c>0

To solve the inequality -(7c-18)-2c>0, we can simplify the expression and then solve for c.

First, let's simplify the expression:

-(7c-18)-2c > 0
-7c + 18 - 2c > 0
-9c + 18 > 0

Next, we can subtract 18 from both sides to isolate the term with c:

-9c + 18 - 18 > 0 - 18
-9c > -18

Now, we can divide both sides by -9. It's important to remember that when you divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign flips:

(-9c)/(-9) < (-18)/(-9)
c < 2

Therefore, the solution to the inequality -(7c-18)-2c>0 is c < 2.