Question

当x满足什么时,|x-1|+|x+2|+|x-3|取最小值

Answer 1

x>=3 时,|x-1|+|x+2|+|x-3|=3x-2>=7
3>x>=1时,|x-1|+|x+2|+|x-3|=x+4>=5
1>x>=-2时,|x-1|+|x+2|+|x-3|=6-x>5
x8
则最小值为5