(3-x)/(1+x)>=x求解
来源:百度知道 编辑:UC知道 时间:2024/05/31 01:10:35
解集
当x+1>0,即x>-1时
3-x>=x(x+1)
x^2+2x-3<=0
(x+3)(x-1)<=0
-3<=x<=1
即-1<x<=1
当x+1<0,即x<-1时
3-x<=x(x+1)
x^2+2x-3>=0
(x+3)(x-1)>=0
x<=-3或x>=1
即x<=-3
综上可得,(3-x)/(1+x)>=x的解集为:
{x|-1<x<=1}∪{x|x<=-3}
(3-x)/(1+x)>=x
3-x>=x+x^2
3>=x^2+2x
x^2+2x-3<=0
(x+3)(x-1)<=0
-3<=x<=1
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