Solve
|×| - 6=2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
• A. The solution set is ___(Use a comma to separate answers as needed.)
• B. The solution is the empty set
To solve the equation |×| - 6 = 2, we first isolate the absolute value term by adding 6 to both sides:
|×| - 6 + 6 = 2 + 6
|×| = 8
Since an absolute value can never be negative, the equation |×| = 8 means that × could be 8 or -8. Therefore, the solution set is {8, -8}.
So, the correct choice is:
A. The solution set is {8, -8}