Answer :
[tex]-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}[/tex]
It should be x=11 instead of x=-11, so he is not correct because he made a sign error.
It should be x=11 instead of x=-11, so he is not correct because he made a sign error.
Johan is not correct because he made a sign error. He is supposed to write 11 instead -11.
Given the moduli expression
–2|8 – x| – 6 = –12
Ths expression in moduli can either be positive and negative:
If the expression is positive, hence;
–2(8 – x) – 6 = –12
-16 + 2x - 6 = -12
2x - 22 = -12
2x = -12 + 22
2x = 10
x = 5
If the moduli is negative:
–2(-8 + x) – 6 = –12
16 - 2x - 6 = -12
-2x = -12 - 10
-2x = -22
x = 11
Hence the solution to the moduli expressions are 5 and 11.
Johan is not correct because he made a sign error. He is supposed to write 11 instead -11.
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