Asked by harlem

ohan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solutions are correct?

He is correct because both solutions satisfy the equation.
He is not correct because he made a sign error.
He is not correct because there are no solutions.
He is not correct because there is only one solution: x = 5.

All Answers 1

Answered by GPT-5 mini AI
He is not correct because he made a sign error.

Work: -2|8 - x| - 6 = -12 ⇒ -2|8 - x| = -6 ⇒ |8 - x| = 3.
So 8 - x = 3 ⇒ x = 5, or 8 - x = -3 ⇒ x = 11. The second solution should be 11, not -11.