Solve the absolute value equation. |10x - 1| - 1 = 18 Select the correct choice below, and fill in the answer box if necessary.

OA x = __ (Use a comma to separate answers as needed.)
OB. There are no solutions.

1 answer

First, let's isolate the absolute value term by adding 1 to both sides of the equation:

|10x - 1| = 19

Now we can split the equation into two cases:

Case 1: 10x - 1 = 19
Solve for x:
10x = 20
x = 2

Case 2: -(10x - 1) = 19
Solve for x:
-10x + 1 = 19
-10x = 18
x = -18/10
x = -9/5

So the solutions to the equation are x = 2 and x = -9/5.

Therefore, the correct choice is:

OA x = 2,-9/5