Question

Giải chi tiết c11

Answer 1

11.

\(\Leftrightarrow\left\{{}\begin{matrix}x-4\ge0\\x^2-4x-12\ge0\\x^2-4x-12\le\left(x-4\right)^2\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x\ge4\\\left[{}\begin{matrix}x\ge6\\x\le-2\end{matrix}\right.\\4x\le28\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x\ge4\\\left[{}\begin{matrix}x\ge6\\x\le-2\end{matrix}\right.\\x\le7\end{matrix}\right.\)

\(\Leftrightarrow6\le x\le7\)