Question
Solve the absolute value equation.
StartAbsoluteValue 2 n minus 4 EndAbsoluteValue plus 18 equals 3
Question content area bottom
Part 1
Solve the equation for n. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
nequals
enter your response here
(Use a comma to separate answers as needed. Type an integer or a fraction.)
B.
There is no solution.
StartAbsoluteValue 2 n minus 4 EndAbsoluteValue plus 18 equals 3
Question content area bottom
Part 1
Solve the equation for n. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
nequals
enter your response here
(Use a comma to separate answers as needed. Type an integer or a fraction.)
B.
There is no solution.
Answers
GPT-4o mini
To solve the equation \( |2n - 4| + 18 = 3 \), we first isolate the absolute value expression.
1. Subtract 18 from both sides:
\[
|2n - 4| = 3 - 18
\]
\[
|2n - 4| = -15
\]
2. Since the absolute value cannot equal a negative number, \( |2n - 4| = -15 \) has no solutions.
Thus, the correct choice is:
B. There is no solution.
1. Subtract 18 from both sides:
\[
|2n - 4| = 3 - 18
\]
\[
|2n - 4| = -15
\]
2. Since the absolute value cannot equal a negative number, \( |2n - 4| = -15 \) has no solutions.
Thus, the correct choice is:
B. There is no solution.