Question

De o conjunto solução da Equação modular | x-2 | - 6 = - 2:

Answer 1

$|x-2|-6=-2\\\\ |x-2|=-2+6\\\\ |x-2|=4\\\\ x-2=\pm 4\\\\ x=\pm 4+2\\\\ \begin{array}{rcl} x=-4+2&~\text{ ou }~&x=4+2\\\\ x=-2&~\text{ ou }~&x=6 \end{array}$


Conjunto solução: $S=\{-2,\,6\}.$

Answer 2

$x-2=+-4\\x-2=4\\x=4+2\\x=6\\\\x-2=-4\\x=-4+2\\x=-2\\S={-2,6}$