Solve the equation.
|3x|-4=11
Select the correct choice and, if necessary, fill in the answer box in your choice below.
x=
There is no solution.
To solve the equation, start by isolating the absolute value term:
|3x| - 4 = 11
Add 4 to both sides:
|3x| = 15
Now, we need to consider two cases: 3x = 15 and 3x = -15.
Case 1: 3x = 15
Divide both sides by 3:
x = 5
Case 2: 3x = -15
Divide both sides by 3:
x = -5
Therefore, there are two solutions: x = 5 and x = -5.