Question

Johan 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.

Answer 1

$-2|8-x|-6=-12 \ \ \ |\hbox{add 6} \\ -2|8-x|=-6 \ \ \ |\hbox{divide by (-2)} \\ |8-x|=3 \\ 8-x=-3 \ \lor \ 8-x=3 \\ -x=-3-8 \ \lor \ -x=3-8 \\ -x=-11 \ \lor \ -x=-5 \\ x=11 \ \lor \ x=5 \\ \boxed{x=5 \hbox{ or } x=11}$

It should be x=11 instead of x=-11, so he is not correct because he made a sign error.

Answer 2

Answer:

B

Step-by-step explanation:

Not correct

He made a sign error