Question

solve the absolute value equation or indicate that the equation has no solution IX-2I - 9 my answer sheet gives me {-7,11} I have gotten opposite value signs where did I go wrong?

Answer 1

If I apply the definition of absolute value, then your equation is equivalent to those 2 equations below:
\[\Large \begin{gathered}
x - 2 = 9 \hfill \\
\hfill \\
- x + 2 = 9 \hfill \\
\end{gathered} \]

Answer 2

sorry I walked off

Answer 3

thanks this way I get the right value signs