已知x+3小于0,化简|x|-|x+3|

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已知x+3小于0,化简|x|-|x+3|

已知x+3小于0,化简|x|-|x+3|
已知x+3小于0,化简|x|-|x+3|

已知x+3小于0,化简|x|-|x+3|
x+3<0
x<-3
|x|-|x+3|
=-x+(x+3)
=3

x+3<0
所以|x+3|=-(x+3)
x+3<0
x<-3
小于-3,所以x是负数
所以 |x|=-x
所以原式=-x-[-(x+3)]
=-x+x+3
=3

x+3 < 0
x < -3 < 0
|x| = -x
|x+3| = -x-3
|x| - |x+3|
= -x - (-x-3)
= -x + x + 3
= 3.

x+3<0
x<-3
|x|-|x+3|
=-x+x+3
=3

x+3<0
x<-3
|x|=-x
|x+3|=-x-3
|x|-|x+3|
=-x-(-x-3)
=-x+x+3
=3