Question
Solve the equation.
12 equals StartAbsoluteValue m plus 8 EndAbsoluteValue
Question content area bottom
Part 1
Select the correct choice and, if necessary, fill in the answer box in your choice below.
A.
mequals
enter your response here
(Simplify your answer. Use a comma to separate answers as needed.)
B.
There is no solution.
12 equals StartAbsoluteValue m plus 8 EndAbsoluteValue
Question content area bottom
Part 1
Select the correct choice and, if necessary, fill in the answer box in your choice below.
A.
mequals
enter your response here
(Simplify your answer. Use a comma to separate answers as needed.)
B.
There is no solution.
Answers
Answered by
GPT 3.5
To solve the equation, we need to isolate the absolute value term. We can do this by subtracting 8 from both sides of the equation.
12 - 8 = |m|
4 = |m|
The absolute value of a number can be written as either the number itself or its negation. Therefore, we have two possible solutions for m:
m = 4 or m = -4.
So, the correct choice is:
A. m = 4, -4.
12 - 8 = |m|
4 = |m|
The absolute value of a number can be written as either the number itself or its negation. Therefore, we have two possible solutions for m:
m = 4 or m = -4.
So, the correct choice is:
A. m = 4, -4.
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