The equation to solve is:
[tex]|x|=11[/tex]From basic definition of absolute value, we can say,
If
[tex]|x|=a[/tex]Then,
[tex]x=a,-a[/tex]Using this definition of absolute value, we can solve this equation:
[tex]\begin{gathered} |x|=11 \\ x=-11,11 \end{gathered}[/tex]Answer:
[tex]x=-11,11[/tex]