Answer:
{-6, 12}
Explanation:
Assuming that you meant (1/3), then you have:
(1/3)|3x - 9| - 5 = 4
First, let's combine the -5 and the +4:
(1/3)|3x - 9| = 9
Next, multipy both sides by 3 to eliminate the fraction 1/3:
|3x - 9| = 27
This absolute value equation has two separate parts:
3x - 9 = 27, and
-(3x - 9) = 27.
In the first case, we have x - 3 = 9, or x = 12.
In the second case, we have -3x + 9 = 27, or -3x = 18, or x = -6.
The solution set is {-6, 12}.