To solve the inequality, we can start by distributing -2 to the terms inside the parentheses:
-18x - 12 > -12 - 18x
Next, simplify both sides of the inequality:
-18x - 12 > -12 - 18x
-18x + 18x > -12 + 12
0 > 0
Since 0 is not greater than 0, the inequality is false. Therefore, there is no solution to the inequality.
The correct answer is: c. There is no solution.
In set-builder notation, we can represent this solution as:
\ x | x is an element of the empty set} (no elements satisfy the inequality)