Question

|1-X|=3, qual è o resultado dessa equacao Modular?

Answer 1

$\boxed{\begin{array}{l}\underline{\sf De~\!\!finic_{\!\!,}\tilde ao\,de\,m\acute odulo}\\\sf |x|=\begin{cases}\sf ~~x,~se~x\leqslant0\\\sf-x,~se~x < 0\end{cases}\\\underline{\sf Propriedades\,do\,m\acute odulo}\\\sf |x|=k~x=k~ou~x=-k\\\sf |1-x|=3\\\sf 1-x=3\\\sf -x=3-1\\\sf -x=2\cdot(-1)\\\sf x=-2\\\sf 1-x=-3\\\sf -x=-1-3\\\sf -x=-4\cdot(-1)\\\sf x=4\\\sf S=\{-1,4\}\end{array}}$