化简||2X-4|-6|+|3X-6|-1<X≤2

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化简||2X-4|-6|+|3X-6|-1<X≤2
化简||2X-4|-6|+|3X-6|
-1<X≤2

化简||2X-4|-6|+|3X-6|-1<X≤2
因为-1

(1)当x<2时:
||2x-4|-6|+|3x-6|
=l4-2x-6|+6-3x
=|2x+2|+6-3x
(a)当x<-1时:原式=-(2x+2)+6-3x=4-5x:
(b)当-1≤x<2时:原式=2x+2+6-3x=8-x;
(2)当x≥2时:
原式=|2x-4-6|+3x-6
=|2x-10|+3x-6
(c)当2...

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(1)当x<2时:
||2x-4|-6|+|3x-6|
=l4-2x-6|+6-3x
=|2x+2|+6-3x
(a)当x<-1时:原式=-(2x+2)+6-3x=4-5x:
(b)当-1≤x<2时:原式=2x+2+6-3x=8-x;
(2)当x≥2时:
原式=|2x-4-6|+3x-6
=|2x-10|+3x-6
(c)当2≤x<5时:原式=-(2x-10)+3x-6=4+x;
(d)当x≥5时:原式=2x-10+3x-6=5x-16.
满意请采纳。

收起

-10
所以-2x-2<0
x≤2
x-2≤0
所以2x-4≤0,3x-6≤0
所以原式=|4-2x-6|+|3x-6|
=|-2x-2|+|3x-6|
=-(-2x-2)+(6-3x)
=2x+2+6-3x
=8-x

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