[tex]x\in[0,\ 2] \Longrightarrow x\ \textless \ 2|_{-2}\Longrightarrow x-2\ \textless \ 0\Longrightarrow |x-2|=-(x-2)=-x+2[/tex] (1)
[tex]x\in[0,\ 2] \Longrightarrow x\ \textgreater \ 0|_{+3}\Longrightarrow x+3\ \textgreater \ 0\Longrightarrow |x+3|=x+3[/tex] (2)
(1), (2) ⇒|x-2| + |x+3| = -x + 2 + x + 3 = 5
