Solve the following absolute value equation.
|X-3|= -14
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
• A.
the solution set is
(Simplify your answer. Use a comma to separate answers as needed.)
• B. The solution set is the empty set, (}.
The equation |x-3| = -14 has no solution since the absolute value of any number is always non-negative, meaning it is either zero or positive. Therefore, the solution set is the empty set, denoted by { }.
B. The solution set is the empty set, { }.