Johan found that the equation negative 2 start absolute value 8 minus x end absolute value minus 6 is equal to negative 12 had two possible solutions: x is equal to 5 and x is equal to negative 11 Which explains whether his solutions are correct?
Answer
A
He is not correct because there is only one solution: x is equal to 5 .
B
He is not correct because he made a sign error.
C
He is correct because both solutions satisfy the equation.
D
He is not correct because there are no solutions.
Explanation
Add 6 to both sides and divide by −2: |8 − x| = 3. This gives 8 − x = 3 or 8 − x = −3, so the solutions are x = 5 and x = 11. Johan’s −11 comes from a sign error; the correct choice is “He is not correct because he made a sign error.”
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