请问这两道含绝对值的不等式的解题过程,谢谢!

2025-05-20 13:06:48
推荐回答(2个)
回答1:

1. |x^2-3x+2|≥-x^2+3x-2 |x^2-3x+2|≥-(x^2-3x+2) |x^2-3x+2|≥0,
-(x^2-3x+2) ≥0 x^2-3x+2≤0 x^2-3x+9/4-9/4+2 ≤0
(x-3/2)^2≤0.25 (x-1.5)^2≤0.5^2 |x-1.5|≤0.5 1≤x<1.5
2. (1+x)(1-|x|)>0 -(x+1)(|x|-1) >0 (x+1)(|x|-1) <0 x<5,x≠-1

回答2:

稍等