\(D=3+\left|x-1\right|+\left|x+2\right|=3+\left|1-x\right|+\left|x+2\right|\ge3+\left|1-x+x+2\right|=3+3=6\)
Dấu "=" xảy ra khi: \(-2\le x\le1\)
\(H=3-\left|x-1\right|-\left|x+2\right|=3-\left(\left|x-1\right|+\left|x+2\right|\right)=3-\left(\left|1-x\right|+\left|x+2\right|\right)\le3-\left|1-x+x+2\right|=3-3=0\)Dấu "=" xảy ra khi: \(-2\le x\le1\)