Solve the absolute value equation. |8n - 4| + 8 = 7 Solve the equation for n. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. n = (Use a comma to separate answers as needed. Type an integer or a fraction.)
OB. There is no solution.
|8n - 4| + 8 = 7
Subtracting 8 from both sides:
|8n - 4| = -1
Since an absolute value cannot be negative, there is no solution to this equation.
The correct choice is:
OB. There is no solution.
To solve the absolute value equation |8n - 4| + 8 = 7, you can start by isolating the absolute value term.
Step 1: Subtract 8 from both sides of the equation:
|8n - 4| = 7 - 8
Simplifying, we get:
|8n - 4| = -1
Since the absolute value of any number cannot be negative, there is no solution to this equation.
Therefore, the correct choice is:
OB. There is no solution.
To solve the absolute value equation |8n - 4| + 8 = 7, we can follow these steps:
Step 1: Begin by subtracting 8 from both sides of the equation:
|8n - 4| = 7 - 8
|8n - 4| = -1
Step 2: Absolute value cannot be negative, so the equation |8n - 4| = -1 has no solution.
Therefore, the correct choice is OB. There is no solution to the equation.