解不等式|x2-5x+6|

问题描述:

解不等式|x2-5x+6|

|(x-2)(x-3)|若x>=3或x则(x-2)(x-3)>=0
则(x-2)(x-3)>(x+2)(x-2)
(x-2)(x-3-x-2)>0
-5(x-2)>0
x-2x所以x若2则(x-2)(x-3)则-(x-2)(x-3)>(x+2)(x-2)
(x-2)(x+2+x-3)(x-2)(2x-1)1/2不符合2所以x

|x2-5x+6|=|(x-2)(x-3)|2,求交集得x>3
当22或x