[tex]TH1: \left\{\begin{matrix} x+1\geq 0 & \\ x-6\geq 0& \end{matrix}\right.\Leftrightarrow \left\{\begin{matrix} x\geq -1 & \\ x\geq 6& \end{matrix}\right.\Rightarrow \Rightarrow x\geq 6[/tex]
[tex]C=x+1-x+6=7[/tex]
[tex]TH2: \left\{\begin{matrix} x+1\geq 0 & \\ x-6\leq 0& \end{matrix}\right.\Leftrightarrow \left\{\begin{matrix} x\geq -1 & \\ x\leq 6& \end{matrix}\right.[/tex]
[tex]C=x+1-6+x=2x-5\geq -7[/tex]
Do [tex]x\geq -1[/tex]
[tex]TH3: \left\{\begin{matrix} x+1\leq 0 & \\ x-6\leq 0& \end{matrix}\right.\Leftrightarrow \left\{\begin{matrix} x\leq -1 & \\ x\leq 6& \end{matrix}\right.\Rightarrow x\leq -1[/tex]
[tex]C=-x-1-6+x=-7[/tex]
[tex]TH4: \left\{\begin{matrix} x+1\geq 0 & \\ x-6\leq 0& \end{matrix}\right.\Leftrightarrow \left\{\begin{matrix} x\leq -1 & \\ x\geq 6& \end{matrix}\right.=>[/tex] Loại
=====> [tex]MinC=-7[/tex] tại x=-1....................