Answer
$c\lt2$
Work Step by Step
$-(7c-18)-2c\gt0$ $\longrightarrow$ multiply (by -1) using the distributive property
$-7c+18-2c\gt0$ $\longrightarrow$ combine like terms
$-9c+18\gt0$ $\longrightarrow$ subtract 18 from both sides
$-9c+18-18\gt0-18$ $\longrightarrow$ simplify
$-9c\gt-18$ $\longrightarrow$ divide both sides by -9; reverse the inequality sign
$-9c\div-9\lt-18\div-9$ $\longrightarrow$ simplify
$c\lt2$
Check inequality
$-(7(0)-18)-2(0)\gt0$
$-(0-18)-0\gt0$
$-(-18)\gt0$
$18\gt0\checkmark$
